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Simplifying 5(x + -1) = 2[x + 10(x + -1)] Reorder the terms: 5(-1 + x) = 2[x + 10(x + -1)] (-1 * 5 + x * 5) = 2[x + 10(x + -1)] (-5 + 5x) = 2[x + 10(x + -1)] Reorder the terms: -5 + 5x = 2[x + 10(-1 + x)] -5 + 5x = 2[x + (-1 * 10 + x * 10)] -5 + 5x = 2[x + (-10 + 10x)] Reorder the terms: -5 + 5x = 2[-10 + x + 10x] Combine like terms: x + 10x = 11x -5 + 5x = 2[-10 + 11x] -5 + 5x = [-10 * 2 + 11x * 2] -5 + 5x = [-20 + 22x] Solving -5 + 5x = -20 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -5 + 5x + -22x = -20 + 22x + -22x Combine like terms: 5x + -22x = -17x -5 + -17x = -20 + 22x + -22x Combine like terms: 22x + -22x = 0 -5 + -17x = -20 + 0 -5 + -17x = -20 Add '5' to each side of the equation. -5 + 5 + -17x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -17x = -20 + 5 -17x = -20 + 5 Combine like terms: -20 + 5 = -15 -17x = -15 Divide each side by '-17'. x = 0.8823529412 Simplifying x = 0.8823529412
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