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Simplifying -5(3x + -20) = 2(x + -30) + -11 Reorder the terms: -5(-20 + 3x) = 2(x + -30) + -11 (-20 * -5 + 3x * -5) = 2(x + -30) + -11 (100 + -15x) = 2(x + -30) + -11 Reorder the terms: 100 + -15x = 2(-30 + x) + -11 100 + -15x = (-30 * 2 + x * 2) + -11 100 + -15x = (-60 + 2x) + -11 Reorder the terms: 100 + -15x = -60 + -11 + 2x Combine like terms: -60 + -11 = -71 100 + -15x = -71 + 2x Solving 100 + -15x = -71 + 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. 100 + -15x + -2x = -71 + 2x + -2x Combine like terms: -15x + -2x = -17x 100 + -17x = -71 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + -17x = -71 + 0 100 + -17x = -71 Add '-100' to each side of the equation. 100 + -100 + -17x = -71 + -100 Combine like terms: 100 + -100 = 0 0 + -17x = -71 + -100 -17x = -71 + -100 Combine like terms: -71 + -100 = -171 -17x = -171 Divide each side by '-17'. x = 10.05882353 Simplifying x = 10.05882353
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