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Simplifying 3(4x + 1) + -5(x + 2) = 3 Reorder the terms: 3(1 + 4x) + -5(x + 2) = 3 (1 * 3 + 4x * 3) + -5(x + 2) = 3 (3 + 12x) + -5(x + 2) = 3 Reorder the terms: 3 + 12x + -5(2 + x) = 3 3 + 12x + (2 * -5 + x * -5) = 3 3 + 12x + (-10 + -5x) = 3 Reorder the terms: 3 + -10 + 12x + -5x = 3 Combine like terms: 3 + -10 = -7 -7 + 12x + -5x = 3 Combine like terms: 12x + -5x = 7x -7 + 7x = 3 Solving -7 + 7x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 3 + 7 7x = 3 + 7 Combine like terms: 3 + 7 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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