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Simplifying 4(x + -2) + 12 = 2(x + 5) + -2 Reorder the terms: 4(-2 + x) + 12 = 2(x + 5) + -2 (-2 * 4 + x * 4) + 12 = 2(x + 5) + -2 (-8 + 4x) + 12 = 2(x + 5) + -2 Reorder the terms: -8 + 12 + 4x = 2(x + 5) + -2 Combine like terms: -8 + 12 = 4 4 + 4x = 2(x + 5) + -2 Reorder the terms: 4 + 4x = 2(5 + x) + -2 4 + 4x = (5 * 2 + x * 2) + -2 4 + 4x = (10 + 2x) + -2 Reorder the terms: 4 + 4x = 10 + -2 + 2x Combine like terms: 10 + -2 = 8 4 + 4x = 8 + 2x Solving 4 + 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. 4 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 8 + 0 4 + 2x = 8 Add '-4' to each side of the equation. 4 + -4 + 2x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 8 + -4 2x = 8 + -4 Combine like terms: 8 + -4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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