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Simplifying 10x + -1(3x + -5) = 32 + 2(x + 4) Reorder the terms: 10x + -1(-5 + 3x) = 32 + 2(x + 4) 10x + (-5 * -1 + 3x * -1) = 32 + 2(x + 4) 10x + (5 + -3x) = 32 + 2(x + 4) Reorder the terms: 5 + 10x + -3x = 32 + 2(x + 4) Combine like terms: 10x + -3x = 7x 5 + 7x = 32 + 2(x + 4) Reorder the terms: 5 + 7x = 32 + 2(4 + x) 5 + 7x = 32 + (4 * 2 + x * 2) 5 + 7x = 32 + (8 + 2x) Combine like terms: 32 + 8 = 40 5 + 7x = 40 + 2x Solving 5 + 7x = 40 + 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 + 7x + -2x = 40 + 2x + -2x Combine like terms: 7x + -2x = 5x 5 + 5x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 5x = 40 + 0 5 + 5x = 40 Add '-5' to each side of the equation. 5 + -5 + 5x = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 40 + -5 5x = 40 + -5 Combine like terms: 40 + -5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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