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Simplifying 5x + 17 = 3(2x + -5) + x + -2 Reorder the terms: 17 + 5x = 3(2x + -5) + x + -2 Reorder the terms: 17 + 5x = 3(-5 + 2x) + x + -2 17 + 5x = (-5 * 3 + 2x * 3) + x + -2 17 + 5x = (-15 + 6x) + x + -2 Reorder the terms: 17 + 5x = -15 + -2 + 6x + x Combine like terms: -15 + -2 = -17 17 + 5x = -17 + 6x + x Combine like terms: 6x + x = 7x 17 + 5x = -17 + 7x Solving 17 + 5x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 5x + -7x = -17 + 7x + -7x Combine like terms: 5x + -7x = -2x 17 + -2x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -2x = -17 + 0 17 + -2x = -17 Add '-17' to each side of the equation. 17 + -17 + -2x = -17 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -17 + -17 -2x = -17 + -17 Combine like terms: -17 + -17 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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