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Simplifying 12x + 17 + -7(2x + -5) = 0 Reorder the terms: 12x + 17 + -7(-5 + 2x) = 0 12x + 17 + (-5 * -7 + 2x * -7) = 0 12x + 17 + (35 + -14x) = 0 Reorder the terms: 17 + 35 + 12x + -14x = 0 Combine like terms: 17 + 35 = 52 52 + 12x + -14x = 0 Combine like terms: 12x + -14x = -2x 52 + -2x = 0 Solving 52 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -2x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -2x = 0 + -52 -2x = 0 + -52 Combine like terms: 0 + -52 = -52 -2x = -52 Divide each side by '-2'. x = 26 Simplifying x = 26
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