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Simplifying 3(2x + 1) = 10(3 + -4x) + 65 Reorder the terms: 3(1 + 2x) = 10(3 + -4x) + 65 (1 * 3 + 2x * 3) = 10(3 + -4x) + 65 (3 + 6x) = 10(3 + -4x) + 65 3 + 6x = (3 * 10 + -4x * 10) + 65 3 + 6x = (30 + -40x) + 65 Reorder the terms: 3 + 6x = 30 + 65 + -40x Combine like terms: 30 + 65 = 95 3 + 6x = 95 + -40x Solving 3 + 6x = 95 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 3 + 6x + 40x = 95 + -40x + 40x Combine like terms: 6x + 40x = 46x 3 + 46x = 95 + -40x + 40x Combine like terms: -40x + 40x = 0 3 + 46x = 95 + 0 3 + 46x = 95 Add '-3' to each side of the equation. 3 + -3 + 46x = 95 + -3 Combine like terms: 3 + -3 = 0 0 + 46x = 95 + -3 46x = 95 + -3 Combine like terms: 95 + -3 = 92 46x = 92 Divide each side by '46'. x = 2 Simplifying x = 2
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