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Simplifying -17 = 5(2x + 3) + -12 Reorder the terms: -17 = 5(3 + 2x) + -12 -17 = (3 * 5 + 2x * 5) + -12 -17 = (15 + 10x) + -12 Reorder the terms: -17 = 15 + -12 + 10x Combine like terms: 15 + -12 = 3 -17 = 3 + 10x Solving -17 = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + -10x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -10x = 3 + 0 -17 + -10x = 3 Add '17' to each side of the equation. -17 + 17 + -10x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 3 + 17 -10x = 3 + 17 Combine like terms: 3 + 17 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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