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Simplifying 3(3x + -6) = 4(2x + -4) Reorder the terms: 3(-6 + 3x) = 4(2x + -4) (-6 * 3 + 3x * 3) = 4(2x + -4) (-18 + 9x) = 4(2x + -4) Reorder the terms: -18 + 9x = 4(-4 + 2x) -18 + 9x = (-4 * 4 + 2x * 4) -18 + 9x = (-16 + 8x) Solving -18 + 9x = -16 + 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. -18 + 9x + -8x = -16 + 8x + -8x Combine like terms: 9x + -8x = 1x -18 + 1x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 1x = -16 + 0 -18 + 1x = -16 Add '18' to each side of the equation. -18 + 18 + 1x = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -16 + 18 1x = -16 + 18 Combine like terms: -16 + 18 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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