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Simplifying 2(x + 5) + -1x + 3(x + -1) = 35 Reorder the terms: 2(5 + x) + -1x + 3(x + -1) = 35 (5 * 2 + x * 2) + -1x + 3(x + -1) = 35 (10 + 2x) + -1x + 3(x + -1) = 35 Reorder the terms: 10 + 2x + -1x + 3(-1 + x) = 35 10 + 2x + -1x + (-1 * 3 + x * 3) = 35 10 + 2x + -1x + (-3 + 3x) = 35 Reorder the terms: 10 + -3 + 2x + -1x + 3x = 35 Combine like terms: 10 + -3 = 7 7 + 2x + -1x + 3x = 35 Combine like terms: 2x + -1x = 1x 7 + 1x + 3x = 35 Combine like terms: 1x + 3x = 4x 7 + 4x = 35 Solving 7 + 4x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 35 + -7 4x = 35 + -7 Combine like terms: 35 + -7 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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