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Simplifying 4(x + 8) = 2x + 12 Reorder the terms: 4(8 + x) = 2x + 12 (8 * 4 + x * 4) = 2x + 12 (32 + 4x) = 2x + 12 Reorder the terms: 32 + 4x = 12 + 2x Solving 32 + 4x = 12 + 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. 32 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x 32 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 2x = 12 + 0 32 + 2x = 12 Add '-32' to each side of the equation. 32 + -32 + 2x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 12 + -32 2x = 12 + -32 Combine like terms: 12 + -32 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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