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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 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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