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Simplifying 51 + -1(3 + 6x + -2(x + 3)) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) Reorder the terms: 51 + -1(3 + 6x + -2(3 + x)) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) 51 + -1(3 + 6x + (3 * -2 + x * -2)) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) 51 + -1(3 + 6x + (-6 + -2x)) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) Reorder the terms: 51 + -1(3 + -6 + 6x + -2x) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) Combine like terms: 3 + -6 = -3 51 + -1(-3 + 6x + -2x) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) Combine like terms: 6x + -2x = 4x 51 + -1(-3 + 4x) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) 51 + (-3 * -1 + 4x * -1) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) 51 + (3 + -4x) = 5(4x + -3) + -1(5(x + -1) + -16c + 6) Combine like terms: 51 + 3 = 54 54 + -4x = 5(4x + -3) + -1(5(x + -1) + -16c + 6) Reorder the terms: 54 + -4x = 5(-3 + 4x) + -1(5(x + -1) + -16c + 6) 54 + -4x = (-3 * 5 + 4x * 5) + -1(5(x + -1) + -16c + 6) 54 + -4x = (-15 + 20x) + -1(5(x + -1) + -16c + 6) Reorder the terms: 54 + -4x = -15 + 20x + -1(5(-1 + x) + -16c + 6) 54 + -4x = -15 + 20x + -1((-1 * 5 + x * 5) + -16c + 6) 54 + -4x = -15 + 20x + -1((-5 + 5x) + -16c + 6) Reorder the terms: 54 + -4x = -15 + 20x + -1(-5 + 6 + -16c + 5x) Combine like terms: -5 + 6 = 1 54 + -4x = -15 + 20x + -1(1 + -16c + 5x) 54 + -4x = -15 + 20x + (1 * -1 + -16c * -1 + 5x * -1) 54 + -4x = -15 + 20x + (-1 + 16c + -5x) Reorder the terms: 54 + -4x = -15 + -1 + 16c + 20x + -5x Combine like terms: -15 + -1 = -16 54 + -4x = -16 + 16c + 20x + -5x Combine like terms: 20x + -5x = 15x 54 + -4x = -16 + 16c + 15x Solving 54 + -4x = -16 + 16c + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 54 + -4x + -15x = -16 + 16c + 15x + -15x Combine like terms: -4x + -15x = -19x 54 + -19x = -16 + 16c + 15x + -15x Combine like terms: 15x + -15x = 0 54 + -19x = -16 + 16c + 0 54 + -19x = -16 + 16c Add '-54' to each side of the equation. 54 + -54 + -19x = -16 + -54 + 16c Combine like terms: 54 + -54 = 0 0 + -19x = -16 + -54 + 16c -19x = -16 + -54 + 16c Combine like terms: -16 + -54 = -70 -19x = -70 + 16c Divide each side by '-19'. x = 3.684210526 + -0.8421052632c Simplifying x = 3.684210526 + -0.8421052632c
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