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Simplifying 3(-3x + 4) = 8(-1x + -4) Reorder the terms: 3(4 + -3x) = 8(-1x + -4) (4 * 3 + -3x * 3) = 8(-1x + -4) (12 + -9x) = 8(-1x + -4) Reorder the terms: 12 + -9x = 8(-4 + -1x) 12 + -9x = (-4 * 8 + -1x * 8) 12 + -9x = (-32 + -8x) Solving 12 + -9x = -32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -9x + 8x = -32 + -8x + 8x Combine like terms: -9x + 8x = -1x 12 + -1x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + -1x = -32 + 0 12 + -1x = -32 Add '-12' to each side of the equation. 12 + -12 + -1x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -32 + -12 -1x = -32 + -12 Combine like terms: -32 + -12 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44
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