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Simplifying -2(x + -3) = 2(-4x + 9) Reorder the terms: -2(-3 + x) = 2(-4x + 9) (-3 * -2 + x * -2) = 2(-4x + 9) (6 + -2x) = 2(-4x + 9) Reorder the terms: 6 + -2x = 2(9 + -4x) 6 + -2x = (9 * 2 + -4x * 2) 6 + -2x = (18 + -8x) Solving 6 + -2x = 18 + -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 + -2x + 8x = 18 + -8x + 8x Combine like terms: -2x + 8x = 6x 6 + 6x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 6x = 18 + 0 6 + 6x = 18 Add '-6' to each side of the equation. 6 + -6 + 6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 18 + -6 6x = 18 + -6 Combine like terms: 18 + -6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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