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Simplifying 35x + 410 = 110 + -1(12x + -18) Reorder the terms: 410 + 35x = 110 + -1(12x + -18) Reorder the terms: 410 + 35x = 110 + -1(-18 + 12x) 410 + 35x = 110 + (-18 * -1 + 12x * -1) 410 + 35x = 110 + (18 + -12x) Combine like terms: 110 + 18 = 128 410 + 35x = 128 + -12x Solving 410 + 35x = 128 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 410 + 35x + 12x = 128 + -12x + 12x Combine like terms: 35x + 12x = 47x 410 + 47x = 128 + -12x + 12x Combine like terms: -12x + 12x = 0 410 + 47x = 128 + 0 410 + 47x = 128 Add '-410' to each side of the equation. 410 + -410 + 47x = 128 + -410 Combine like terms: 410 + -410 = 0 0 + 47x = 128 + -410 47x = 128 + -410 Combine like terms: 128 + -410 = -282 47x = -282 Divide each side by '47'. x = -6 Simplifying x = -6
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