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Simplifying 5(2x + 1) + -7(x + -2) = -1 Reorder the terms: 5(1 + 2x) + -7(x + -2) = -1 (1 * 5 + 2x * 5) + -7(x + -2) = -1 (5 + 10x) + -7(x + -2) = -1 Reorder the terms: 5 + 10x + -7(-2 + x) = -1 5 + 10x + (-2 * -7 + x * -7) = -1 5 + 10x + (14 + -7x) = -1 Reorder the terms: 5 + 14 + 10x + -7x = -1 Combine like terms: 5 + 14 = 19 19 + 10x + -7x = -1 Combine like terms: 10x + -7x = 3x 19 + 3x = -1 Solving 19 + 3x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = -1 + -19 3x = -1 + -19 Combine like terms: -1 + -19 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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