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Simplifying 7(5 + -2x) + 12x = 17 + x (5 * 7 + -2x * 7) + 12x = 17 + x (35 + -14x) + 12x = 17 + x Combine like terms: -14x + 12x = -2x 35 + -2x = 17 + x Solving 35 + -2x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + -2x + -1x = 17 + x + -1x Combine like terms: -2x + -1x = -3x 35 + -3x = 17 + x + -1x Combine like terms: x + -1x = 0 35 + -3x = 17 + 0 35 + -3x = 17 Add '-35' to each side of the equation. 35 + -35 + -3x = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 17 + -35 -3x = 17 + -35 Combine like terms: 17 + -35 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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