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Simplifying x + -4(x + -2) = 10 + -1(2x + 5) Reorder the terms: x + -4(-2 + x) = 10 + -1(2x + 5) x + (-2 * -4 + x * -4) = 10 + -1(2x + 5) x + (8 + -4x) = 10 + -1(2x + 5) Reorder the terms: 8 + x + -4x = 10 + -1(2x + 5) Combine like terms: x + -4x = -3x 8 + -3x = 10 + -1(2x + 5) Reorder the terms: 8 + -3x = 10 + -1(5 + 2x) 8 + -3x = 10 + (5 * -1 + 2x * -1) 8 + -3x = 10 + (-5 + -2x) Combine like terms: 10 + -5 = 5 8 + -3x = 5 + -2x Solving 8 + -3x = 5 + -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. 8 + -3x + 2x = 5 + -2x + 2x Combine like terms: -3x + 2x = -1x 8 + -1x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -1x = 5 + 0 8 + -1x = 5 Add '-8' to each side of the equation. 8 + -8 + -1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 5 + -8 -1x = 5 + -8 Combine like terms: 5 + -8 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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