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Simplifying 12x = 17 + 5(3x + -7) Reorder the terms: 12x = 17 + 5(-7 + 3x) 12x = 17 + (-7 * 5 + 3x * 5) 12x = 17 + (-35 + 15x) Combine like terms: 17 + -35 = -18 12x = -18 + 15x Solving 12x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12x + -15x = -18 + 15x + -15x Combine like terms: 12x + -15x = -3x -3x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 -3x = -18 + 0 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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