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