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Simplifying 8x + 2(x + -4) = 8x + 12 Reorder the terms: 8x + 2(-4 + x) = 8x + 12 8x + (-4 * 2 + x * 2) = 8x + 12 8x + (-8 + 2x) = 8x + 12 Reorder the terms: -8 + 8x + 2x = 8x + 12 Combine like terms: 8x + 2x = 10x -8 + 10x = 8x + 12 Reorder the terms: -8 + 10x = 12 + 8x Solving -8 + 10x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x -8 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 2x = 12 + 0 -8 + 2x = 12 Add '8' to each side of the equation. -8 + 8 + 2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 12 + 8 2x = 12 + 8 Combine like terms: 12 + 8 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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