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Simplifying x + -1(x + -5) = 7(x + 9) Reorder the terms: x + -1(-5 + x) = 7(x + 9) x + (-5 * -1 + x * -1) = 7(x + 9) x + (5 + -1x) = 7(x + 9) Reorder the terms: 5 + x + -1x = 7(x + 9) Combine like terms: x + -1x = 0 5 + 0 = 7(x + 9) 5 = 7(x + 9) Reorder the terms: 5 = 7(9 + x) 5 = (9 * 7 + x * 7) 5 = (63 + 7x) Solving 5 = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -7x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -7x = 63 + 0 5 + -7x = 63 Add '-5' to each side of the equation. 5 + -5 + -7x = 63 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 63 + -5 -7x = 63 + -5 Combine like terms: 63 + -5 = 58 -7x = 58 Divide each side by '-7'. x = -8.285714286 Simplifying x = -8.285714286
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