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Simplifying -3(x + 7) + 6 = -1(x + -8) Reorder the terms: -3(7 + x) + 6 = -1(x + -8) (7 * -3 + x * -3) + 6 = -1(x + -8) (-21 + -3x) + 6 = -1(x + -8) Reorder the terms: -21 + 6 + -3x = -1(x + -8) Combine like terms: -21 + 6 = -15 -15 + -3x = -1(x + -8) Reorder the terms: -15 + -3x = -1(-8 + x) -15 + -3x = (-8 * -1 + x * -1) -15 + -3x = (8 + -1x) Solving -15 + -3x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -3x + x = 8 + -1x + x Combine like terms: -3x + x = -2x -15 + -2x = 8 + -1x + x Combine like terms: -1x + x = 0 -15 + -2x = 8 + 0 -15 + -2x = 8 Add '15' to each side of the equation. -15 + 15 + -2x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 8 + 15 -2x = 8 + 15 Combine like terms: 8 + 15 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5
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