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Simplifying 5x + -1(x + -4) = 10 + -2(x + -8) Reorder the terms: 5x + -1(-4 + x) = 10 + -2(x + -8) 5x + (-4 * -1 + x * -1) = 10 + -2(x + -8) 5x + (4 + -1x) = 10 + -2(x + -8) Reorder the terms: 4 + 5x + -1x = 10 + -2(x + -8) Combine like terms: 5x + -1x = 4x 4 + 4x = 10 + -2(x + -8) Reorder the terms: 4 + 4x = 10 + -2(-8 + x) 4 + 4x = 10 + (-8 * -2 + x * -2) 4 + 4x = 10 + (16 + -2x) Combine like terms: 10 + 16 = 26 4 + 4x = 26 + -2x Solving 4 + 4x = 26 + -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. 4 + 4x + 2x = 26 + -2x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 6x = 26 + 0 4 + 6x = 26 Add '-4' to each side of the equation. 4 + -4 + 6x = 26 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 26 + -4 6x = 26 + -4 Combine like terms: 26 + -4 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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