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