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Simplifying -3(x + -5) + -1(2x + -6) + 1 = -5(x + -1) + -3(x + 2) + 3 Reorder the terms: -3(-5 + x) + -1(2x + -6) + 1 = -5(x + -1) + -3(x + 2) + 3 (-5 * -3 + x * -3) + -1(2x + -6) + 1 = -5(x + -1) + -3(x + 2) + 3 (15 + -3x) + -1(2x + -6) + 1 = -5(x + -1) + -3(x + 2) + 3 Reorder the terms: 15 + -3x + -1(-6 + 2x) + 1 = -5(x + -1) + -3(x + 2) + 3 15 + -3x + (-6 * -1 + 2x * -1) + 1 = -5(x + -1) + -3(x + 2) + 3 15 + -3x + (6 + -2x) + 1 = -5(x + -1) + -3(x + 2) + 3 Reorder the terms: 15 + 6 + 1 + -3x + -2x = -5(x + -1) + -3(x + 2) + 3 Combine like terms: 15 + 6 = 21 21 + 1 + -3x + -2x = -5(x + -1) + -3(x + 2) + 3 Combine like terms: 21 + 1 = 22 22 + -3x + -2x = -5(x + -1) + -3(x + 2) + 3 Combine like terms: -3x + -2x = -5x 22 + -5x = -5(x + -1) + -3(x + 2) + 3 Reorder the terms: 22 + -5x = -5(-1 + x) + -3(x + 2) + 3 22 + -5x = (-1 * -5 + x * -5) + -3(x + 2) + 3 22 + -5x = (5 + -5x) + -3(x + 2) + 3 Reorder the terms: 22 + -5x = 5 + -5x + -3(2 + x) + 3 22 + -5x = 5 + -5x + (2 * -3 + x * -3) + 3 22 + -5x = 5 + -5x + (-6 + -3x) + 3 Reorder the terms: 22 + -5x = 5 + -6 + 3 + -5x + -3x Combine like terms: 5 + -6 = -1 22 + -5x = -1 + 3 + -5x + -3x Combine like terms: -1 + 3 = 2 22 + -5x = 2 + -5x + -3x Combine like terms: -5x + -3x = -8x 22 + -5x = 2 + -8x Solving 22 + -5x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 22 + -5x + 8x = 2 + -8x + 8x Combine like terms: -5x + 8x = 3x 22 + 3x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + 3x = 2 + 0 22 + 3x = 2 Add '-22' to each side of the equation. 22 + -22 + 3x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 2 + -22 3x = 2 + -22 Combine like terms: 2 + -22 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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