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Simplifying 4(3 + x) + -2 = 2(x + -4) (3 * 4 + x * 4) + -2 = 2(x + -4) (12 + 4x) + -2 = 2(x + -4) Reorder the terms: 12 + -2 + 4x = 2(x + -4) Combine like terms: 12 + -2 = 10 10 + 4x = 2(x + -4) Reorder the terms: 10 + 4x = 2(-4 + x) 10 + 4x = (-4 * 2 + x * 2) 10 + 4x = (-8 + 2x) Solving 10 + 4x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = -8 + 0 10 + 2x = -8 Add '-10' to each side of the equation. 10 + -10 + 2x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -8 + -10 2x = -8 + -10 Combine like terms: -8 + -10 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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