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Simplifying 2(x + -7) + -1 = -5(6 + -1x) Reorder the terms: 2(-7 + x) + -1 = -5(6 + -1x) (-7 * 2 + x * 2) + -1 = -5(6 + -1x) (-14 + 2x) + -1 = -5(6 + -1x) Reorder the terms: -14 + -1 + 2x = -5(6 + -1x) Combine like terms: -14 + -1 = -15 -15 + 2x = -5(6 + -1x) -15 + 2x = (6 * -5 + -1x * -5) -15 + 2x = (-30 + 5x) Solving -15 + 2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 2x + -5x = -30 + 5x + -5x Combine like terms: 2x + -5x = -3x -15 + -3x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -3x = -30 + 0 -15 + -3x = -30 Add '15' to each side of the equation. -15 + 15 + -3x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -30 + 15 -3x = -30 + 15 Combine like terms: -30 + 15 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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