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Simplifying -1(x + -5) + 8 = 6(x + 5) Reorder the terms: -1(-5 + x) + 8 = 6(x + 5) (-5 * -1 + x * -1) + 8 = 6(x + 5) (5 + -1x) + 8 = 6(x + 5) Reorder the terms: 5 + 8 + -1x = 6(x + 5) Combine like terms: 5 + 8 = 13 13 + -1x = 6(x + 5) Reorder the terms: 13 + -1x = 6(5 + x) 13 + -1x = (5 * 6 + x * 6) 13 + -1x = (30 + 6x) Solving 13 + -1x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + -1x + -6x = 30 + 6x + -6x Combine like terms: -1x + -6x = -7x 13 + -7x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -7x = 30 + 0 13 + -7x = 30 Add '-13' to each side of the equation. 13 + -13 + -7x = 30 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 30 + -13 -7x = 30 + -13 Combine like terms: 30 + -13 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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