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Simplifying 2(x + 9) + -4x = 12 + -3(2x + 12) Reorder the terms: 2(9 + x) + -4x = 12 + -3(2x + 12) (9 * 2 + x * 2) + -4x = 12 + -3(2x + 12) (18 + 2x) + -4x = 12 + -3(2x + 12) Combine like terms: 2x + -4x = -2x 18 + -2x = 12 + -3(2x + 12) Reorder the terms: 18 + -2x = 12 + -3(12 + 2x) 18 + -2x = 12 + (12 * -3 + 2x * -3) 18 + -2x = 12 + (-36 + -6x) Combine like terms: 12 + -36 = -24 18 + -2x = -24 + -6x Solving 18 + -2x = -24 + -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 = -24 + -6x + 6x Combine like terms: -2x + 6x = 4x 18 + 4x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 4x = -24 + 0 18 + 4x = -24 Add '-18' to each side of the equation. 18 + -18 + 4x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = -24 + -18 4x = -24 + -18 Combine like terms: -24 + -18 = -42 4x = -42 Divide each side by '4'. x = -10.5 Simplifying x = -10.5
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