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Simplifying 4(7x + 1) + -5(5x + -2) = 12 Reorder the terms: 4(1 + 7x) + -5(5x + -2) = 12 (1 * 4 + 7x * 4) + -5(5x + -2) = 12 (4 + 28x) + -5(5x + -2) = 12 Reorder the terms: 4 + 28x + -5(-2 + 5x) = 12 4 + 28x + (-2 * -5 + 5x * -5) = 12 4 + 28x + (10 + -25x) = 12 Reorder the terms: 4 + 10 + 28x + -25x = 12 Combine like terms: 4 + 10 = 14 14 + 28x + -25x = 12 Combine like terms: 28x + -25x = 3x 14 + 3x = 12 Solving 14 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 12 + -14 3x = 12 + -14 Combine like terms: 12 + -14 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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