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Simplifying 5 + -1(2x + -9) = 2(x + -8) + -11 Reorder the terms: 5 + -1(-9 + 2x) = 2(x + -8) + -11 5 + (-9 * -1 + 2x * -1) = 2(x + -8) + -11 5 + (9 + -2x) = 2(x + -8) + -11 Combine like terms: 5 + 9 = 14 14 + -2x = 2(x + -8) + -11 Reorder the terms: 14 + -2x = 2(-8 + x) + -11 14 + -2x = (-8 * 2 + x * 2) + -11 14 + -2x = (-16 + 2x) + -11 Reorder the terms: 14 + -2x = -16 + -11 + 2x Combine like terms: -16 + -11 = -27 14 + -2x = -27 + 2x Solving 14 + -2x = -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. 14 + -2x + -2x = -27 + 2x + -2x Combine like terms: -2x + -2x = -4x 14 + -4x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -4x = -27 + 0 14 + -4x = -27 Add '-14' to each side of the equation. 14 + -14 + -4x = -27 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -27 + -14 -4x = -27 + -14 Combine like terms: -27 + -14 = -41 -4x = -41 Divide each side by '-4'. x = 10.25 Simplifying x = 10.25
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