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