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Simplifying 4(x + 2) + -5x = 10 + -1(1 + -1x) Reorder the terms: 4(2 + x) + -5x = 10 + -1(1 + -1x) (2 * 4 + x * 4) + -5x = 10 + -1(1 + -1x) (8 + 4x) + -5x = 10 + -1(1 + -1x) Combine like terms: 4x + -5x = -1x 8 + -1x = 10 + -1(1 + -1x) 8 + -1x = 10 + (1 * -1 + -1x * -1) 8 + -1x = 10 + (-1 + 1x) Combine like terms: 10 + -1 = 9 8 + -1x = 9 + 1x Solving 8 + -1x = 9 + 1x 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 = 9 + 1x + -1x Combine like terms: -1x + -1x = -2x 8 + -2x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -2x = 9 + 0 8 + -2x = 9 Add '-8' to each side of the equation. 8 + -8 + -2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 9 + -8 -2x = 9 + -8 Combine like terms: 9 + -8 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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