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Simplifying 3(2x + 2) = 4(4x + 8) Reorder the terms: 3(2 + 2x) = 4(4x + 8) (2 * 3 + 2x * 3) = 4(4x + 8) (6 + 6x) = 4(4x + 8) Reorder the terms: 6 + 6x = 4(8 + 4x) 6 + 6x = (8 * 4 + 4x * 4) 6 + 6x = (32 + 16x) Solving 6 + 6x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 6x + -16x = 32 + 16x + -16x Combine like terms: 6x + -16x = -10x 6 + -10x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -10x = 32 + 0 6 + -10x = 32 Add '-6' to each side of the equation. 6 + -6 + -10x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 32 + -6 -10x = 32 + -6 Combine like terms: 32 + -6 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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