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Simplifying 6(2x + 1) + -3(4x + -3) + -1(6x + 10) = -1(4x + -3) + 3 Reorder the terms: 6(1 + 2x) + -3(4x + -3) + -1(6x + 10) = -1(4x + -3) + 3 (1 * 6 + 2x * 6) + -3(4x + -3) + -1(6x + 10) = -1(4x + -3) + 3 (6 + 12x) + -3(4x + -3) + -1(6x + 10) = -1(4x + -3) + 3 Reorder the terms: 6 + 12x + -3(-3 + 4x) + -1(6x + 10) = -1(4x + -3) + 3 6 + 12x + (-3 * -3 + 4x * -3) + -1(6x + 10) = -1(4x + -3) + 3 6 + 12x + (9 + -12x) + -1(6x + 10) = -1(4x + -3) + 3 Reorder the terms: 6 + 12x + 9 + -12x + -1(10 + 6x) = -1(4x + -3) + 3 6 + 12x + 9 + -12x + (10 * -1 + 6x * -1) = -1(4x + -3) + 3 6 + 12x + 9 + -12x + (-10 + -6x) = -1(4x + -3) + 3 Reorder the terms: 6 + 9 + -10 + 12x + -12x + -6x = -1(4x + -3) + 3 Combine like terms: 6 + 9 = 15 15 + -10 + 12x + -12x + -6x = -1(4x + -3) + 3 Combine like terms: 15 + -10 = 5 5 + 12x + -12x + -6x = -1(4x + -3) + 3 Combine like terms: 12x + -12x = 0 5 + 0 + -6x = -1(4x + -3) + 3 5 + -6x = -1(4x + -3) + 3 Reorder the terms: 5 + -6x = -1(-3 + 4x) + 3 5 + -6x = (-3 * -1 + 4x * -1) + 3 5 + -6x = (3 + -4x) + 3 Reorder the terms: 5 + -6x = 3 + 3 + -4x Combine like terms: 3 + 3 = 6 5 + -6x = 6 + -4x Solving 5 + -6x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + -6x + 4x = 6 + -4x + 4x Combine like terms: -6x + 4x = -2x 5 + -2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -2x = 6 + 0 5 + -2x = 6 Add '-5' to each side of the equation. 5 + -5 + -2x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 6 + -5 -2x = 6 + -5 Combine like terms: 6 + -5 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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