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Simplifying 3(x + 2) + -1(x + -1) = x + 17 Reorder the terms: 3(2 + x) + -1(x + -1) = x + 17 (2 * 3 + x * 3) + -1(x + -1) = x + 17 (6 + 3x) + -1(x + -1) = x + 17 Reorder the terms: 6 + 3x + -1(-1 + x) = x + 17 6 + 3x + (-1 * -1 + x * -1) = x + 17 6 + 3x + (1 + -1x) = x + 17 Reorder the terms: 6 + 1 + 3x + -1x = x + 17 Combine like terms: 6 + 1 = 7 7 + 3x + -1x = x + 17 Combine like terms: 3x + -1x = 2x 7 + 2x = x + 17 Reorder the terms: 7 + 2x = 17 + x Solving 7 + 2x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x = 17 + x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 17 + x + -1x Combine like terms: x + -1x = 0 7 + 1x = 17 + 0 7 + 1x = 17 Add '-7' to each side of the equation. 7 + -7 + 1x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 17 + -7 1x = 17 + -7 Combine like terms: 17 + -7 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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