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Simplifying 2(x + -5) + 5(8 + -1x) = 30 + -5(2x + -10) Reorder the terms: 2(-5 + x) + 5(8 + -1x) = 30 + -5(2x + -10) (-5 * 2 + x * 2) + 5(8 + -1x) = 30 + -5(2x + -10) (-10 + 2x) + 5(8 + -1x) = 30 + -5(2x + -10) -10 + 2x + (8 * 5 + -1x * 5) = 30 + -5(2x + -10) -10 + 2x + (40 + -5x) = 30 + -5(2x + -10) Reorder the terms: -10 + 40 + 2x + -5x = 30 + -5(2x + -10) Combine like terms: -10 + 40 = 30 30 + 2x + -5x = 30 + -5(2x + -10) Combine like terms: 2x + -5x = -3x 30 + -3x = 30 + -5(2x + -10) Reorder the terms: 30 + -3x = 30 + -5(-10 + 2x) 30 + -3x = 30 + (-10 * -5 + 2x * -5) 30 + -3x = 30 + (50 + -10x) Combine like terms: 30 + 50 = 80 30 + -3x = 80 + -10x Solving 30 + -3x = 80 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 30 + -3x + 10x = 80 + -10x + 10x Combine like terms: -3x + 10x = 7x 30 + 7x = 80 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + 7x = 80 + 0 30 + 7x = 80 Add '-30' to each side of the equation. 30 + -30 + 7x = 80 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 80 + -30 7x = 80 + -30 Combine like terms: 80 + -30 = 50 7x = 50 Divide each side by '7'. x = 7.142857143 Simplifying x = 7.142857143
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