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Simplifying 2(5x + 5) + -1(3x + -4) = 33 + -1(3x + -1) Reorder the terms: 2(5 + 5x) + -1(3x + -4) = 33 + -1(3x + -1) (5 * 2 + 5x * 2) + -1(3x + -4) = 33 + -1(3x + -1) (10 + 10x) + -1(3x + -4) = 33 + -1(3x + -1) Reorder the terms: 10 + 10x + -1(-4 + 3x) = 33 + -1(3x + -1) 10 + 10x + (-4 * -1 + 3x * -1) = 33 + -1(3x + -1) 10 + 10x + (4 + -3x) = 33 + -1(3x + -1) Reorder the terms: 10 + 4 + 10x + -3x = 33 + -1(3x + -1) Combine like terms: 10 + 4 = 14 14 + 10x + -3x = 33 + -1(3x + -1) Combine like terms: 10x + -3x = 7x 14 + 7x = 33 + -1(3x + -1) Reorder the terms: 14 + 7x = 33 + -1(-1 + 3x) 14 + 7x = 33 + (-1 * -1 + 3x * -1) 14 + 7x = 33 + (1 + -3x) Combine like terms: 33 + 1 = 34 14 + 7x = 34 + -3x Solving 14 + 7x = 34 + -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. 14 + 7x + 3x = 34 + -3x + 3x Combine like terms: 7x + 3x = 10x 14 + 10x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 10x = 34 + 0 14 + 10x = 34 Add '-14' to each side of the equation. 14 + -14 + 10x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 34 + -14 10x = 34 + -14 Combine like terms: 34 + -14 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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