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Simplifying 4(2 + x) + -5x = x + 12 (2 * 4 + x * 4) + -5x = x + 12 (8 + 4x) + -5x = x + 12 Combine like terms: 4x + -5x = -1x 8 + -1x = x + 12 Reorder the terms: 8 + -1x = 12 + x Solving 8 + -1x = 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. 8 + -1x + -1x = 12 + x + -1x Combine like terms: -1x + -1x = -2x 8 + -2x = 12 + x + -1x Combine like terms: x + -1x = 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 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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