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Simplifying 4(x + 2) + -8 = 2(x + 2) + 12 Reorder the terms: 4(2 + x) + -8 = 2(x + 2) + 12 (2 * 4 + x * 4) + -8 = 2(x + 2) + 12 (8 + 4x) + -8 = 2(x + 2) + 12 Reorder the terms: 8 + -8 + 4x = 2(x + 2) + 12 Combine like terms: 8 + -8 = 0 0 + 4x = 2(x + 2) + 12 4x = 2(x + 2) + 12 Reorder the terms: 4x = 2(2 + x) + 12 4x = (2 * 2 + x * 2) + 12 4x = (4 + 2x) + 12 Reorder the terms: 4x = 4 + 12 + 2x Combine like terms: 4 + 12 = 16 4x = 16 + 2x Solving 4x = 16 + 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. 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 16 + 0 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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