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Simplifying (x + 4) + -1(x + -6) = 5(x + 8) Reorder the terms: (4 + x) + -1(x + -6) = 5(x + 8) Remove parenthesis around (4 + x) 4 + x + -1(x + -6) = 5(x + 8) Reorder the terms: 4 + x + -1(-6 + x) = 5(x + 8) 4 + x + (-6 * -1 + x * -1) = 5(x + 8) 4 + x + (6 + -1x) = 5(x + 8) Reorder the terms: 4 + 6 + x + -1x = 5(x + 8) Combine like terms: 4 + 6 = 10 10 + x + -1x = 5(x + 8) Combine like terms: x + -1x = 0 10 + 0 = 5(x + 8) 10 = 5(x + 8) Reorder the terms: 10 = 5(8 + x) 10 = (8 * 5 + x * 5) 10 = (40 + 5x) Solving 10 = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -5x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -5x = 40 + 0 10 + -5x = 40 Add '-10' to each side of the equation. 10 + -10 + -5x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 40 + -10 -5x = 40 + -10 Combine like terms: 40 + -10 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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