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Simplifying 18 + -1(3x + 5) = 5(x + -11) Reorder the terms: 18 + -1(5 + 3x) = 5(x + -11) 18 + (5 * -1 + 3x * -1) = 5(x + -11) 18 + (-5 + -3x) = 5(x + -11) Combine like terms: 18 + -5 = 13 13 + -3x = 5(x + -11) Reorder the terms: 13 + -3x = 5(-11 + x) 13 + -3x = (-11 * 5 + x * 5) 13 + -3x = (-55 + 5x) Solving 13 + -3x = -55 + 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. 13 + -3x + -5x = -55 + 5x + -5x Combine like terms: -3x + -5x = -8x 13 + -8x = -55 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -8x = -55 + 0 13 + -8x = -55 Add '-13' to each side of the equation. 13 + -13 + -8x = -55 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -55 + -13 -8x = -55 + -13 Combine like terms: -55 + -13 = -68 -8x = -68 Divide each side by '-8'. x = 8.5 Simplifying x = 8.5
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