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Simplifying 8(x + -3) = -1(x + -12) Reorder the terms: 8(-3 + x) = -1(x + -12) (-3 * 8 + x * 8) = -1(x + -12) (-24 + 8x) = -1(x + -12) Reorder the terms: -24 + 8x = -1(-12 + x) -24 + 8x = (-12 * -1 + x * -1) -24 + 8x = (12 + -1x) Solving -24 + 8x = 12 + -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. -24 + 8x + x = 12 + -1x + x Combine like terms: 8x + x = 9x -24 + 9x = 12 + -1x + x Combine like terms: -1x + x = 0 -24 + 9x = 12 + 0 -24 + 9x = 12 Add '24' to each side of the equation. -24 + 24 + 9x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 12 + 24 9x = 12 + 24 Combine like terms: 12 + 24 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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