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Simplifying 5(2x + 7) + -17x + -12 = 0 Reorder the terms: 5(7 + 2x) + -17x + -12 = 0 (7 * 5 + 2x * 5) + -17x + -12 = 0 (35 + 10x) + -17x + -12 = 0 Reorder the terms: 35 + -12 + 10x + -17x = 0 Combine like terms: 35 + -12 = 23 23 + 10x + -17x = 0 Combine like terms: 10x + -17x = -7x 23 + -7x = 0 Solving 23 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -7x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -7x = 0 + -23 -7x = 0 + -23 Combine like terms: 0 + -23 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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