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Simplifying -1(2x + -3) + -1(2x + -5) + 6 = -5(x + -1) + -1(2x + 6) + 3 Reorder the terms: -1(-3 + 2x) + -1(2x + -5) + 6 = -5(x + -1) + -1(2x + 6) + 3 (-3 * -1 + 2x * -1) + -1(2x + -5) + 6 = -5(x + -1) + -1(2x + 6) + 3 (3 + -2x) + -1(2x + -5) + 6 = -5(x + -1) + -1(2x + 6) + 3 Reorder the terms: 3 + -2x + -1(-5 + 2x) + 6 = -5(x + -1) + -1(2x + 6) + 3 3 + -2x + (-5 * -1 + 2x * -1) + 6 = -5(x + -1) + -1(2x + 6) + 3 3 + -2x + (5 + -2x) + 6 = -5(x + -1) + -1(2x + 6) + 3 Reorder the terms: 3 + 5 + 6 + -2x + -2x = -5(x + -1) + -1(2x + 6) + 3 Combine like terms: 3 + 5 = 8 8 + 6 + -2x + -2x = -5(x + -1) + -1(2x + 6) + 3 Combine like terms: 8 + 6 = 14 14 + -2x + -2x = -5(x + -1) + -1(2x + 6) + 3 Combine like terms: -2x + -2x = -4x 14 + -4x = -5(x + -1) + -1(2x + 6) + 3 Reorder the terms: 14 + -4x = -5(-1 + x) + -1(2x + 6) + 3 14 + -4x = (-1 * -5 + x * -5) + -1(2x + 6) + 3 14 + -4x = (5 + -5x) + -1(2x + 6) + 3 Reorder the terms: 14 + -4x = 5 + -5x + -1(6 + 2x) + 3 14 + -4x = 5 + -5x + (6 * -1 + 2x * -1) + 3 14 + -4x = 5 + -5x + (-6 + -2x) + 3 Reorder the terms: 14 + -4x = 5 + -6 + 3 + -5x + -2x Combine like terms: 5 + -6 = -1 14 + -4x = -1 + 3 + -5x + -2x Combine like terms: -1 + 3 = 2 14 + -4x = 2 + -5x + -2x Combine like terms: -5x + -2x = -7x 14 + -4x = 2 + -7x Solving 14 + -4x = 2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + -4x + 7x = 2 + -7x + 7x Combine like terms: -4x + 7x = 3x 14 + 3x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 3x = 2 + 0 14 + 3x = 2 Add '-14' to each side of the equation. 14 + -14 + 3x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 2 + -14 3x = 2 + -14 Combine like terms: 2 + -14 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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