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Simplifying -5(2 + -9) = 2(x + -8) + -11 Combine like terms: 2 + -9 = -7 -5(-7) = 2(x + -8) + -11 Multiply -5 * -7 35 = 2(x + -8) + -11 Reorder the terms: 35 = 2(-8 + x) + -11 35 = (-8 * 2 + x * 2) + -11 35 = (-16 + 2x) + -11 Reorder the terms: 35 = -16 + -11 + 2x Combine like terms: -16 + -11 = -27 35 = -27 + 2x Solving 35 = -27 + 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. 35 + -2x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -2x = -27 + 0 35 + -2x = -27 Add '-35' to each side of the equation. 35 + -35 + -2x = -27 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = -27 + -35 -2x = -27 + -35 Combine like terms: -27 + -35 = -62 -2x = -62 Divide each side by '-2'. x = 31 Simplifying x = 31
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