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Simplifying 2(x + 7) + -1 = 3x + -1(2x + -17) Reorder the terms: 2(7 + x) + -1 = 3x + -1(2x + -17) (7 * 2 + x * 2) + -1 = 3x + -1(2x + -17) (14 + 2x) + -1 = 3x + -1(2x + -17) Reorder the terms: 14 + -1 + 2x = 3x + -1(2x + -17) Combine like terms: 14 + -1 = 13 13 + 2x = 3x + -1(2x + -17) Reorder the terms: 13 + 2x = 3x + -1(-17 + 2x) 13 + 2x = 3x + (-17 * -1 + 2x * -1) 13 + 2x = 3x + (17 + -2x) Reorder the terms: 13 + 2x = 17 + 3x + -2x Combine like terms: 3x + -2x = 1x 13 + 2x = 17 + 1x Solving 13 + 2x = 17 + 1x 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. 13 + 2x + -1x = 17 + 1x + -1x Combine like terms: 2x + -1x = 1x 13 + 1x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + 1x = 17 + 0 13 + 1x = 17 Add '-13' to each side of the equation. 13 + -13 + 1x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 17 + -13 1x = 17 + -13 Combine like terms: 17 + -13 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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