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Simplifying 35 + -1(2x + 3) = 1 + 5(x + 9) Reorder the terms: 35 + -1(3 + 2x) = 1 + 5(x + 9) 35 + (3 * -1 + 2x * -1) = 1 + 5(x + 9) 35 + (-3 + -2x) = 1 + 5(x + 9) Combine like terms: 35 + -3 = 32 32 + -2x = 1 + 5(x + 9) Reorder the terms: 32 + -2x = 1 + 5(9 + x) 32 + -2x = 1 + (9 * 5 + x * 5) 32 + -2x = 1 + (45 + 5x) Combine like terms: 1 + 45 = 46 32 + -2x = 46 + 5x Solving 32 + -2x = 46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + -2x + -5x = 46 + 5x + -5x Combine like terms: -2x + -5x = -7x 32 + -7x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -7x = 46 + 0 32 + -7x = 46 Add '-32' to each side of the equation. 32 + -32 + -7x = 46 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = 46 + -32 -7x = 46 + -32 Combine like terms: 46 + -32 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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