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Simplifying 4(2x + -1) = 3(3x + -4) Reorder the terms: 4(-1 + 2x) = 3(3x + -4) (-1 * 4 + 2x * 4) = 3(3x + -4) (-4 + 8x) = 3(3x + -4) Reorder the terms: -4 + 8x = 3(-4 + 3x) -4 + 8x = (-4 * 3 + 3x * 3) -4 + 8x = (-12 + 9x) Solving -4 + 8x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 8x + -9x = -12 + 9x + -9x Combine like terms: 8x + -9x = -1x -4 + -1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -1x = -12 + 0 -4 + -1x = -12 Add '4' to each side of the equation. -4 + 4 + -1x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -12 + 4 -1x = -12 + 4 Combine like terms: -12 + 4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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