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Simplifying 76 = 2(3 + 4x) + 2x 76 = (3 * 2 + 4x * 2) + 2x 76 = (6 + 8x) + 2x Combine like terms: 8x + 2x = 10x 76 = 6 + 10x Solving 76 = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 76 + -10x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 76 + -10x = 6 + 0 76 + -10x = 6 Add '-76' to each side of the equation. 76 + -76 + -10x = 6 + -76 Combine like terms: 76 + -76 = 0 0 + -10x = 6 + -76 -10x = 6 + -76 Combine like terms: 6 + -76 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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