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Simplifying -1(4x + -4) + -1(10x + -6) + 5 = -5(x + -1) + -1(13x + 5) + 3 Reorder the terms: -1(-4 + 4x) + -1(10x + -6) + 5 = -5(x + -1) + -1(13x + 5) + 3 (-4 * -1 + 4x * -1) + -1(10x + -6) + 5 = -5(x + -1) + -1(13x + 5) + 3 (4 + -4x) + -1(10x + -6) + 5 = -5(x + -1) + -1(13x + 5) + 3 Reorder the terms: 4 + -4x + -1(-6 + 10x) + 5 = -5(x + -1) + -1(13x + 5) + 3 4 + -4x + (-6 * -1 + 10x * -1) + 5 = -5(x + -1) + -1(13x + 5) + 3 4 + -4x + (6 + -10x) + 5 = -5(x + -1) + -1(13x + 5) + 3 Reorder the terms: 4 + 6 + 5 + -4x + -10x = -5(x + -1) + -1(13x + 5) + 3 Combine like terms: 4 + 6 = 10 10 + 5 + -4x + -10x = -5(x + -1) + -1(13x + 5) + 3 Combine like terms: 10 + 5 = 15 15 + -4x + -10x = -5(x + -1) + -1(13x + 5) + 3 Combine like terms: -4x + -10x = -14x 15 + -14x = -5(x + -1) + -1(13x + 5) + 3 Reorder the terms: 15 + -14x = -5(-1 + x) + -1(13x + 5) + 3 15 + -14x = (-1 * -5 + x * -5) + -1(13x + 5) + 3 15 + -14x = (5 + -5x) + -1(13x + 5) + 3 Reorder the terms: 15 + -14x = 5 + -5x + -1(5 + 13x) + 3 15 + -14x = 5 + -5x + (5 * -1 + 13x * -1) + 3 15 + -14x = 5 + -5x + (-5 + -13x) + 3 Reorder the terms: 15 + -14x = 5 + -5 + 3 + -5x + -13x Combine like terms: 5 + -5 = 0 15 + -14x = 0 + 3 + -5x + -13x 15 + -14x = 3 + -5x + -13x Combine like terms: -5x + -13x = -18x 15 + -14x = 3 + -18x Solving 15 + -14x = 3 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 15 + -14x + 18x = 3 + -18x + 18x Combine like terms: -14x + 18x = 4x 15 + 4x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 15 + 4x = 3 + 0 15 + 4x = 3 Add '-15' to each side of the equation. 15 + -15 + 4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 3 + -15 4x = 3 + -15 Combine like terms: 3 + -15 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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