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Simplifying (x + -1) * 5 = 2(x + -10) Reorder the terms: (-1 + x) * 5 = 2(x + -10) Reorder the terms for easier multiplication: 5(-1 + x) = 2(x + -10) (-1 * 5 + x * 5) = 2(x + -10) (-5 + 5x) = 2(x + -10) Reorder the terms: -5 + 5x = 2(-10 + x) -5 + 5x = (-10 * 2 + x * 2) -5 + 5x = (-20 + 2x) Solving -5 + 5x = -20 + 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. -5 + 5x + -2x = -20 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = -20 + 0 -5 + 3x = -20 Add '5' to each side of the equation. -5 + 5 + 3x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -20 + 5 3x = -20 + 5 Combine like terms: -20 + 5 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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