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Simplifying 4(2x + 4) = 3(6x + -6) Reorder the terms: 4(4 + 2x) = 3(6x + -6) (4 * 4 + 2x * 4) = 3(6x + -6) (16 + 8x) = 3(6x + -6) Reorder the terms: 16 + 8x = 3(-6 + 6x) 16 + 8x = (-6 * 3 + 6x * 3) 16 + 8x = (-18 + 18x) Solving 16 + 8x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 16 + 8x + -18x = -18 + 18x + -18x Combine like terms: 8x + -18x = -10x 16 + -10x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 16 + -10x = -18 + 0 16 + -10x = -18 Add '-16' to each side of the equation. 16 + -16 + -10x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -18 + -16 -10x = -18 + -16 Combine like terms: -18 + -16 = -34 -10x = -34 Divide each side by '-10'. x = 3.4 Simplifying x = 3.4
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