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Simplifying 2(3x + -24) + -1(5x + 9) = 4x + -12 Reorder the terms: 2(-24 + 3x) + -1(5x + 9) = 4x + -12 (-24 * 2 + 3x * 2) + -1(5x + 9) = 4x + -12 (-48 + 6x) + -1(5x + 9) = 4x + -12 Reorder the terms: -48 + 6x + -1(9 + 5x) = 4x + -12 -48 + 6x + (9 * -1 + 5x * -1) = 4x + -12 -48 + 6x + (-9 + -5x) = 4x + -12 Reorder the terms: -48 + -9 + 6x + -5x = 4x + -12 Combine like terms: -48 + -9 = -57 -57 + 6x + -5x = 4x + -12 Combine like terms: 6x + -5x = 1x -57 + 1x = 4x + -12 Reorder the terms: -57 + 1x = -12 + 4x Solving -57 + 1x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -57 + 1x + -4x = -12 + 4x + -4x Combine like terms: 1x + -4x = -3x -57 + -3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -57 + -3x = -12 + 0 -57 + -3x = -12 Add '57' to each side of the equation. -57 + 57 + -3x = -12 + 57 Combine like terms: -57 + 57 = 0 0 + -3x = -12 + 57 -3x = -12 + 57 Combine like terms: -12 + 57 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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