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Simplifying 3(4x + 2) + -4 = 65 + 3x Reorder the terms: 3(2 + 4x) + -4 = 65 + 3x (2 * 3 + 4x * 3) + -4 = 65 + 3x (6 + 12x) + -4 = 65 + 3x Reorder the terms: 6 + -4 + 12x = 65 + 3x Combine like terms: 6 + -4 = 2 2 + 12x = 65 + 3x Solving 2 + 12x = 65 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 12x + -3x = 65 + 3x + -3x Combine like terms: 12x + -3x = 9x 2 + 9x = 65 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 9x = 65 + 0 2 + 9x = 65 Add '-2' to each side of the equation. 2 + -2 + 9x = 65 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 65 + -2 9x = 65 + -2 Combine like terms: 65 + -2 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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