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Simplifying -12x + 76 = 2(x + 3) Reorder the terms: 76 + -12x = 2(x + 3) Reorder the terms: 76 + -12x = 2(3 + x) 76 + -12x = (3 * 2 + x * 2) 76 + -12x = (6 + 2x) Solving 76 + -12x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 76 + -12x + -2x = 6 + 2x + -2x Combine like terms: -12x + -2x = -14x 76 + -14x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 76 + -14x = 6 + 0 76 + -14x = 6 Add '-76' to each side of the equation. 76 + -76 + -14x = 6 + -76 Combine like terms: 76 + -76 = 0 0 + -14x = 6 + -76 -14x = 6 + -76 Combine like terms: 6 + -76 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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