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Simplifying -1(4x + -3) + -1(2x + -5) + 5 = -5(x + -1) + -1(4x + 4) + 3 Reorder the terms: -1(-3 + 4x) + -1(2x + -5) + 5 = -5(x + -1) + -1(4x + 4) + 3 (-3 * -1 + 4x * -1) + -1(2x + -5) + 5 = -5(x + -1) + -1(4x + 4) + 3 (3 + -4x) + -1(2x + -5) + 5 = -5(x + -1) + -1(4x + 4) + 3 Reorder the terms: 3 + -4x + -1(-5 + 2x) + 5 = -5(x + -1) + -1(4x + 4) + 3 3 + -4x + (-5 * -1 + 2x * -1) + 5 = -5(x + -1) + -1(4x + 4) + 3 3 + -4x + (5 + -2x) + 5 = -5(x + -1) + -1(4x + 4) + 3 Reorder the terms: 3 + 5 + 5 + -4x + -2x = -5(x + -1) + -1(4x + 4) + 3 Combine like terms: 3 + 5 = 8 8 + 5 + -4x + -2x = -5(x + -1) + -1(4x + 4) + 3 Combine like terms: 8 + 5 = 13 13 + -4x + -2x = -5(x + -1) + -1(4x + 4) + 3 Combine like terms: -4x + -2x = -6x 13 + -6x = -5(x + -1) + -1(4x + 4) + 3 Reorder the terms: 13 + -6x = -5(-1 + x) + -1(4x + 4) + 3 13 + -6x = (-1 * -5 + x * -5) + -1(4x + 4) + 3 13 + -6x = (5 + -5x) + -1(4x + 4) + 3 Reorder the terms: 13 + -6x = 5 + -5x + -1(4 + 4x) + 3 13 + -6x = 5 + -5x + (4 * -1 + 4x * -1) + 3 13 + -6x = 5 + -5x + (-4 + -4x) + 3 Reorder the terms: 13 + -6x = 5 + -4 + 3 + -5x + -4x Combine like terms: 5 + -4 = 1 13 + -6x = 1 + 3 + -5x + -4x Combine like terms: 1 + 3 = 4 13 + -6x = 4 + -5x + -4x Combine like terms: -5x + -4x = -9x 13 + -6x = 4 + -9x Solving 13 + -6x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 13 + -6x + 9x = 4 + -9x + 9x Combine like terms: -6x + 9x = 3x 13 + 3x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 3x = 4 + 0 13 + 3x = 4 Add '-13' to each side of the equation. 13 + -13 + 3x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 4 + -13 3x = 4 + -13 Combine like terms: 4 + -13 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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