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Simplifying 109 = -5(x + -8) + -1(x + 3) Reorder the terms: 109 = -5(-8 + x) + -1(x + 3) 109 = (-8 * -5 + x * -5) + -1(x + 3) 109 = (40 + -5x) + -1(x + 3) Reorder the terms: 109 = 40 + -5x + -1(3 + x) 109 = 40 + -5x + (3 * -1 + x * -1) 109 = 40 + -5x + (-3 + -1x) Reorder the terms: 109 = 40 + -3 + -5x + -1x Combine like terms: 40 + -3 = 37 109 = 37 + -5x + -1x Combine like terms: -5x + -1x = -6x 109 = 37 + -6x Solving 109 = 37 + -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. 109 + 6x = 37 + -6x + 6x Combine like terms: -6x + 6x = 0 109 + 6x = 37 + 0 109 + 6x = 37 Add '-109' to each side of the equation. 109 + -109 + 6x = 37 + -109 Combine like terms: 109 + -109 = 0 0 + 6x = 37 + -109 6x = 37 + -109 Combine like terms: 37 + -109 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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