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Simplifying -3(x + 8) = x + -1(x + -21) Reorder the terms: -3(8 + x) = x + -1(x + -21) (8 * -3 + x * -3) = x + -1(x + -21) (-24 + -3x) = x + -1(x + -21) Reorder the terms: -24 + -3x = x + -1(-21 + x) -24 + -3x = x + (-21 * -1 + x * -1) -24 + -3x = x + (21 + -1x) Reorder the terms: -24 + -3x = 21 + x + -1x Combine like terms: x + -1x = 0 -24 + -3x = 21 + 0 -24 + -3x = 21 Solving -24 + -3x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 21 + 24 -3x = 21 + 24 Combine like terms: 21 + 24 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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