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Simplifying -1(-3x + 12) = 1 + -1(x + 24) Reorder the terms: -1(12 + -3x) = 1 + -1(x + 24) (12 * -1 + -3x * -1) = 1 + -1(x + 24) (-12 + 3x) = 1 + -1(x + 24) Reorder the terms: -12 + 3x = 1 + -1(24 + x) -12 + 3x = 1 + (24 * -1 + x * -1) -12 + 3x = 1 + (-24 + -1x) Combine like terms: 1 + -24 = -23 -12 + 3x = -23 + -1x Solving -12 + 3x = -23 + -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. -12 + 3x + x = -23 + -1x + x Combine like terms: 3x + x = 4x -12 + 4x = -23 + -1x + x Combine like terms: -1x + x = 0 -12 + 4x = -23 + 0 -12 + 4x = -23 Add '12' to each side of the equation. -12 + 12 + 4x = -23 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -23 + 12 4x = -23 + 12 Combine like terms: -23 + 12 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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