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Simplifying 5x + 3(2x + 4) = 120 + 2x Reorder the terms: 5x + 3(4 + 2x) = 120 + 2x 5x + (4 * 3 + 2x * 3) = 120 + 2x 5x + (12 + 6x) = 120 + 2x Reorder the terms: 12 + 5x + 6x = 120 + 2x Combine like terms: 5x + 6x = 11x 12 + 11x = 120 + 2x Solving 12 + 11x = 120 + 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 + 11x + -2x = 120 + 2x + -2x Combine like terms: 11x + -2x = 9x 12 + 9x = 120 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 9x = 120 + 0 12 + 9x = 120 Add '-12' to each side of the equation. 12 + -12 + 9x = 120 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 120 + -12 9x = 120 + -12 Combine like terms: 120 + -12 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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