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Simplifying 4(3x + 5) + 3(-1x + 1) = 68 Reorder the terms: 4(5 + 3x) + 3(-1x + 1) = 68 (5 * 4 + 3x * 4) + 3(-1x + 1) = 68 (20 + 12x) + 3(-1x + 1) = 68 Reorder the terms: 20 + 12x + 3(1 + -1x) = 68 20 + 12x + (1 * 3 + -1x * 3) = 68 20 + 12x + (3 + -3x) = 68 Reorder the terms: 20 + 3 + 12x + -3x = 68 Combine like terms: 20 + 3 = 23 23 + 12x + -3x = 68 Combine like terms: 12x + -3x = 9x 23 + 9x = 68 Solving 23 + 9x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 9x = 68 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 68 + -23 9x = 68 + -23 Combine like terms: 68 + -23 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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