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Simplifying 2(5x + 3) + -4(7x + 1) = -1 Reorder the terms: 2(3 + 5x) + -4(7x + 1) = -1 (3 * 2 + 5x * 2) + -4(7x + 1) = -1 (6 + 10x) + -4(7x + 1) = -1 Reorder the terms: 6 + 10x + -4(1 + 7x) = -1 6 + 10x + (1 * -4 + 7x * -4) = -1 6 + 10x + (-4 + -28x) = -1 Reorder the terms: 6 + -4 + 10x + -28x = -1 Combine like terms: 6 + -4 = 2 2 + 10x + -28x = -1 Combine like terms: 10x + -28x = -18x 2 + -18x = -1 Solving 2 + -18x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -18x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = -1 + -2 -18x = -1 + -2 Combine like terms: -1 + -2 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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