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Simplifying 12 + -3(x + -2) = 7(x + 4) Reorder the terms: 12 + -3(-2 + x) = 7(x + 4) 12 + (-2 * -3 + x * -3) = 7(x + 4) 12 + (6 + -3x) = 7(x + 4) Combine like terms: 12 + 6 = 18 18 + -3x = 7(x + 4) Reorder the terms: 18 + -3x = 7(4 + x) 18 + -3x = (4 * 7 + x * 7) 18 + -3x = (28 + 7x) Solving 18 + -3x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + -3x + -7x = 28 + 7x + -7x Combine like terms: -3x + -7x = -10x 18 + -10x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -10x = 28 + 0 18 + -10x = 28 Add '-18' to each side of the equation. 18 + -18 + -10x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = 28 + -18 -10x = 28 + -18 Combine like terms: 28 + -18 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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