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Simplifying -5(3x + -20) = 2(x + -1) + -1 Reorder the terms: -5(-20 + 3x) = 2(x + -1) + -1 (-20 * -5 + 3x * -5) = 2(x + -1) + -1 (100 + -15x) = 2(x + -1) + -1 Reorder the terms: 100 + -15x = 2(-1 + x) + -1 100 + -15x = (-1 * 2 + x * 2) + -1 100 + -15x = (-2 + 2x) + -1 Reorder the terms: 100 + -15x = -2 + -1 + 2x Combine like terms: -2 + -1 = -3 100 + -15x = -3 + 2x Solving 100 + -15x = -3 + 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 = -3 + 2x + -2x Combine like terms: -15x + -2x = -17x 100 + -17x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + -17x = -3 + 0 100 + -17x = -3 Add '-100' to each side of the equation. 100 + -100 + -17x = -3 + -100 Combine like terms: 100 + -100 = 0 0 + -17x = -3 + -100 -17x = -3 + -100 Combine like terms: -3 + -100 = -103 -17x = -103 Divide each side by '-17'. x = 6.058823529 Simplifying x = 6.058823529
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