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Simplifying 3(1 + -1x) + 2 = 2(x + -10) (1 * 3 + -1x * 3) + 2 = 2(x + -10) (3 + -3x) + 2 = 2(x + -10) Reorder the terms: 3 + 2 + -3x = 2(x + -10) Combine like terms: 3 + 2 = 5 5 + -3x = 2(x + -10) Reorder the terms: 5 + -3x = 2(-10 + x) 5 + -3x = (-10 * 2 + x * 2) 5 + -3x = (-20 + 2x) Solving 5 + -3x = -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 + -3x + -2x = -20 + 2x + -2x Combine like terms: -3x + -2x = -5x 5 + -5x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -5x = -20 + 0 5 + -5x = -20 Add '-5' to each side of the equation. 5 + -5 + -5x = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -20 + -5 -5x = -20 + -5 Combine like terms: -20 + -5 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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