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Simplifying 3(x + -5) + 2 = 17 + x Reorder the terms: 3(-5 + x) + 2 = 17 + x (-5 * 3 + x * 3) + 2 = 17 + x (-15 + 3x) + 2 = 17 + x Reorder the terms: -15 + 2 + 3x = 17 + x Combine like terms: -15 + 2 = -13 -13 + 3x = 17 + x Solving -13 + 3x = 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. -13 + 3x + -1x = 17 + x + -1x Combine like terms: 3x + -1x = 2x -13 + 2x = 17 + x + -1x Combine like terms: x + -1x = 0 -13 + 2x = 17 + 0 -13 + 2x = 17 Add '13' to each side of the equation. -13 + 13 + 2x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 17 + 13 2x = 17 + 13 Combine like terms: 17 + 13 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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