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Simplifying 3(2x + 4) = 2(x + 2) + 78 Reorder the terms: 3(4 + 2x) = 2(x + 2) + 78 (4 * 3 + 2x * 3) = 2(x + 2) + 78 (12 + 6x) = 2(x + 2) + 78 Reorder the terms: 12 + 6x = 2(2 + x) + 78 12 + 6x = (2 * 2 + x * 2) + 78 12 + 6x = (4 + 2x) + 78 Reorder the terms: 12 + 6x = 4 + 78 + 2x Combine like terms: 4 + 78 = 82 12 + 6x = 82 + 2x Solving 12 + 6x = 82 + 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. 12 + 6x + -2x = 82 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 82 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 82 + 0 12 + 4x = 82 Add '-12' to each side of the equation. 12 + -12 + 4x = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 82 + -12 4x = 82 + -12 Combine like terms: 82 + -12 = 70 4x = 70 Divide each side by '4'. x = 17.5 Simplifying x = 17.5
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