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Simplifying 10 + -2(4 + -5x) + 8 = 34 + 5(x + -2) + -2x 10 + (4 * -2 + -5x * -2) + 8 = 34 + 5(x + -2) + -2x 10 + (-8 + 10x) + 8 = 34 + 5(x + -2) + -2x Reorder the terms: 10 + -8 + 8 + 10x = 34 + 5(x + -2) + -2x Combine like terms: 10 + -8 = 2 2 + 8 + 10x = 34 + 5(x + -2) + -2x Combine like terms: 2 + 8 = 10 10 + 10x = 34 + 5(x + -2) + -2x Reorder the terms: 10 + 10x = 34 + 5(-2 + x) + -2x 10 + 10x = 34 + (-2 * 5 + x * 5) + -2x 10 + 10x = 34 + (-10 + 5x) + -2x Combine like terms: 34 + -10 = 24 10 + 10x = 24 + 5x + -2x Combine like terms: 5x + -2x = 3x 10 + 10x = 24 + 3x Solving 10 + 10x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 10x + -3x = 24 + 3x + -3x Combine like terms: 10x + -3x = 7x 10 + 7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 7x = 24 + 0 10 + 7x = 24 Add '-10' to each side of the equation. 10 + -10 + 7x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 24 + -10 7x = 24 + -10 Combine like terms: 24 + -10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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