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Simplifying -5x + 17 = 3(x + 3) Reorder the terms: 17 + -5x = 3(x + 3) Reorder the terms: 17 + -5x = 3(3 + x) 17 + -5x = (3 * 3 + x * 3) 17 + -5x = (9 + 3x) Solving 17 + -5x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + -5x + -3x = 9 + 3x + -3x Combine like terms: -5x + -3x = -8x 17 + -8x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -8x = 9 + 0 17 + -8x = 9 Add '-17' to each side of the equation. 17 + -17 + -8x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 9 + -17 -8x = 9 + -17 Combine like terms: 9 + -17 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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