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Simplifying 7x + -5(6x + -7) = 12 Reorder the terms: 7x + -5(-7 + 6x) = 12 7x + (-7 * -5 + 6x * -5) = 12 7x + (35 + -30x) = 12 Reorder the terms: 35 + 7x + -30x = 12 Combine like terms: 7x + -30x = -23x 35 + -23x = 12 Solving 35 + -23x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -23x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -23x = 12 + -35 -23x = 12 + -35 Combine like terms: 12 + -35 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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