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Simplifying 5x + -3(x + -10) + 1 = -1(x + -5) + 20 Reorder the terms: 5x + -3(-10 + x) + 1 = -1(x + -5) + 20 5x + (-10 * -3 + x * -3) + 1 = -1(x + -5) + 20 5x + (30 + -3x) + 1 = -1(x + -5) + 20 Reorder the terms: 30 + 1 + 5x + -3x = -1(x + -5) + 20 Combine like terms: 30 + 1 = 31 31 + 5x + -3x = -1(x + -5) + 20 Combine like terms: 5x + -3x = 2x 31 + 2x = -1(x + -5) + 20 Reorder the terms: 31 + 2x = -1(-5 + x) + 20 31 + 2x = (-5 * -1 + x * -1) + 20 31 + 2x = (5 + -1x) + 20 Reorder the terms: 31 + 2x = 5 + 20 + -1x Combine like terms: 5 + 20 = 25 31 + 2x = 25 + -1x Solving 31 + 2x = 25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 31 + 2x + x = 25 + -1x + x Combine like terms: 2x + x = 3x 31 + 3x = 25 + -1x + x Combine like terms: -1x + x = 0 31 + 3x = 25 + 0 31 + 3x = 25 Add '-31' to each side of the equation. 31 + -31 + 3x = 25 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 25 + -31 3x = 25 + -31 Combine like terms: 25 + -31 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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