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Simplifying 4(x + -8) + -2x = x + -12 Reorder the terms: 4(-8 + x) + -2x = x + -12 (-8 * 4 + x * 4) + -2x = x + -12 (-32 + 4x) + -2x = x + -12 Combine like terms: 4x + -2x = 2x -32 + 2x = x + -12 Reorder the terms: -32 + 2x = -12 + x Solving -32 + 2x = -12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + 2x + -1x = -12 + x + -1x Combine like terms: 2x + -1x = 1x -32 + 1x = -12 + x + -1x Combine like terms: x + -1x = 0 -32 + 1x = -12 + 0 -32 + 1x = -12 Add '32' to each side of the equation. -32 + 32 + 1x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -12 + 32 1x = -12 + 32 Combine like terms: -12 + 32 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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