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Simplifying -1(2x + -5) + -1(3x + -6) + 5 = -5(x + -1) + -1(2x + 3) + 6 Reorder the terms: -1(-5 + 2x) + -1(3x + -6) + 5 = -5(x + -1) + -1(2x + 3) + 6 (-5 * -1 + 2x * -1) + -1(3x + -6) + 5 = -5(x + -1) + -1(2x + 3) + 6 (5 + -2x) + -1(3x + -6) + 5 = -5(x + -1) + -1(2x + 3) + 6 Reorder the terms: 5 + -2x + -1(-6 + 3x) + 5 = -5(x + -1) + -1(2x + 3) + 6 5 + -2x + (-6 * -1 + 3x * -1) + 5 = -5(x + -1) + -1(2x + 3) + 6 5 + -2x + (6 + -3x) + 5 = -5(x + -1) + -1(2x + 3) + 6 Reorder the terms: 5 + 6 + 5 + -2x + -3x = -5(x + -1) + -1(2x + 3) + 6 Combine like terms: 5 + 6 = 11 11 + 5 + -2x + -3x = -5(x + -1) + -1(2x + 3) + 6 Combine like terms: 11 + 5 = 16 16 + -2x + -3x = -5(x + -1) + -1(2x + 3) + 6 Combine like terms: -2x + -3x = -5x 16 + -5x = -5(x + -1) + -1(2x + 3) + 6 Reorder the terms: 16 + -5x = -5(-1 + x) + -1(2x + 3) + 6 16 + -5x = (-1 * -5 + x * -5) + -1(2x + 3) + 6 16 + -5x = (5 + -5x) + -1(2x + 3) + 6 Reorder the terms: 16 + -5x = 5 + -5x + -1(3 + 2x) + 6 16 + -5x = 5 + -5x + (3 * -1 + 2x * -1) + 6 16 + -5x = 5 + -5x + (-3 + -2x) + 6 Reorder the terms: 16 + -5x = 5 + -3 + 6 + -5x + -2x Combine like terms: 5 + -3 = 2 16 + -5x = 2 + 6 + -5x + -2x Combine like terms: 2 + 6 = 8 16 + -5x = 8 + -5x + -2x Combine like terms: -5x + -2x = -7x 16 + -5x = 8 + -7x Solving 16 + -5x = 8 + -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. 16 + -5x + 7x = 8 + -7x + 7x Combine like terms: -5x + 7x = 2x 16 + 2x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 16 + 2x = 8 + 0 16 + 2x = 8 Add '-16' to each side of the equation. 16 + -16 + 2x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 8 + -16 2x = 8 + -16 Combine like terms: 8 + -16 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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