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Simplifying 4(2x + -2) = 2(3x + 9) Reorder the terms: 4(-2 + 2x) = 2(3x + 9) (-2 * 4 + 2x * 4) = 2(3x + 9) (-8 + 8x) = 2(3x + 9) Reorder the terms: -8 + 8x = 2(9 + 3x) -8 + 8x = (9 * 2 + 3x * 2) -8 + 8x = (18 + 6x) Solving -8 + 8x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = 18 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = 18 + 0 -8 + 2x = 18 Add '8' to each side of the equation. -8 + 8 + 2x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 18 + 8 2x = 18 + 8 Combine like terms: 18 + 8 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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