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Simplifying 4(2x + -2) = 6(5x + 2) Reorder the terms: 4(-2 + 2x) = 6(5x + 2) (-2 * 4 + 2x * 4) = 6(5x + 2) (-8 + 8x) = 6(5x + 2) Reorder the terms: -8 + 8x = 6(2 + 5x) -8 + 8x = (2 * 6 + 5x * 6) -8 + 8x = (12 + 30x) Solving -8 + 8x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -8 + 8x + -30x = 12 + 30x + -30x Combine like terms: 8x + -30x = -22x -8 + -22x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 -8 + -22x = 12 + 0 -8 + -22x = 12 Add '8' to each side of the equation. -8 + 8 + -22x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -22x = 12 + 8 -22x = 12 + 8 Combine like terms: 12 + 8 = 20 -22x = 20 Divide each side by '-22'. x = -0.9090909091 Simplifying x = -0.9090909091
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