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Simplifying 4(2x + -3) = 3(3x + -4) Reorder the terms: 4(-3 + 2x) = 3(3x + -4) (-3 * 4 + 2x * 4) = 3(3x + -4) (-12 + 8x) = 3(3x + -4) Reorder the terms: -12 + 8x = 3(-4 + 3x) -12 + 8x = (-4 * 3 + 3x * 3) -12 + 8x = (-12 + 9x) Add '12' to each side of the equation. -12 + 12 + 8x = -12 + 12 + 9x Combine like terms: -12 + 12 = 0 0 + 8x = -12 + 12 + 9x 8x = -12 + 12 + 9x Combine like terms: -12 + 12 = 0 8x = 0 + 9x 8x = 9x Solving 8x = 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. 8x + -9x = 9x + -9x Combine like terms: 8x + -9x = -1x -1x = 9x + -9x Combine like terms: 9x + -9x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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