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Simplifying 4(2x + 2) = 6(3x + 2) Reorder the terms: 4(2 + 2x) = 6(3x + 2) (2 * 4 + 2x * 4) = 6(3x + 2) (8 + 8x) = 6(3x + 2) Reorder the terms: 8 + 8x = 6(2 + 3x) 8 + 8x = (2 * 6 + 3x * 6) 8 + 8x = (12 + 18x) Solving 8 + 8x = 12 + 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. 8 + 8x + -18x = 12 + 18x + -18x Combine like terms: 8x + -18x = -10x 8 + -10x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + -10x = 12 + 0 8 + -10x = 12 Add '-8' to each side of the equation. 8 + -8 + -10x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 12 + -8 -10x = 12 + -8 Combine like terms: 12 + -8 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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