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Simplifying -1(3x + -5) + -1(2x + -6) + 1 = 5(x + -1) + -1(3x + 2) + 3 Reorder the terms: -1(-5 + 3x) + -1(2x + -6) + 1 = 5(x + -1) + -1(3x + 2) + 3 (-5 * -1 + 3x * -1) + -1(2x + -6) + 1 = 5(x + -1) + -1(3x + 2) + 3 (5 + -3x) + -1(2x + -6) + 1 = 5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 5 + -3x + -1(-6 + 2x) + 1 = 5(x + -1) + -1(3x + 2) + 3 5 + -3x + (-6 * -1 + 2x * -1) + 1 = 5(x + -1) + -1(3x + 2) + 3 5 + -3x + (6 + -2x) + 1 = 5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 5 + 6 + 1 + -3x + -2x = 5(x + -1) + -1(3x + 2) + 3 Combine like terms: 5 + 6 = 11 11 + 1 + -3x + -2x = 5(x + -1) + -1(3x + 2) + 3 Combine like terms: 11 + 1 = 12 12 + -3x + -2x = 5(x + -1) + -1(3x + 2) + 3 Combine like terms: -3x + -2x = -5x 12 + -5x = 5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 12 + -5x = 5(-1 + x) + -1(3x + 2) + 3 12 + -5x = (-1 * 5 + x * 5) + -1(3x + 2) + 3 12 + -5x = (-5 + 5x) + -1(3x + 2) + 3 Reorder the terms: 12 + -5x = -5 + 5x + -1(2 + 3x) + 3 12 + -5x = -5 + 5x + (2 * -1 + 3x * -1) + 3 12 + -5x = -5 + 5x + (-2 + -3x) + 3 Reorder the terms: 12 + -5x = -5 + -2 + 3 + 5x + -3x Combine like terms: -5 + -2 = -7 12 + -5x = -7 + 3 + 5x + -3x Combine like terms: -7 + 3 = -4 12 + -5x = -4 + 5x + -3x Combine like terms: 5x + -3x = 2x 12 + -5x = -4 + 2x Solving 12 + -5x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -5x + -2x = -4 + 2x + -2x Combine like terms: -5x + -2x = -7x 12 + -7x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -7x = -4 + 0 12 + -7x = -4 Add '-12' to each side of the equation. 12 + -12 + -7x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -4 + -12 -7x = -4 + -12 Combine like terms: -4 + -12 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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