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Simplifying 3(2x + 2) = 4(2x + 3) Reorder the terms: 3(2 + 2x) = 4(2x + 3) (2 * 3 + 2x * 3) = 4(2x + 3) (6 + 6x) = 4(2x + 3) Reorder the terms: 6 + 6x = 4(3 + 2x) 6 + 6x = (3 * 4 + 2x * 4) 6 + 6x = (12 + 8x) Solving 6 + 6x = 12 + 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. 6 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x 6 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -2x = 12 + 0 6 + -2x = 12 Add '-6' to each side of the equation. 6 + -6 + -2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 12 + -6 -2x = 12 + -6 Combine like terms: 12 + -6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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