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Simplifying 5(3 + -4x) + -2(7 + -5x) = -4(2x + -1) + -2x + -1 (3 * 5 + -4x * 5) + -2(7 + -5x) = -4(2x + -1) + -2x + -1 (15 + -20x) + -2(7 + -5x) = -4(2x + -1) + -2x + -1 15 + -20x + (7 * -2 + -5x * -2) = -4(2x + -1) + -2x + -1 15 + -20x + (-14 + 10x) = -4(2x + -1) + -2x + -1 Reorder the terms: 15 + -14 + -20x + 10x = -4(2x + -1) + -2x + -1 Combine like terms: 15 + -14 = 1 1 + -20x + 10x = -4(2x + -1) + -2x + -1 Combine like terms: -20x + 10x = -10x 1 + -10x = -4(2x + -1) + -2x + -1 Reorder the terms: 1 + -10x = -4(-1 + 2x) + -2x + -1 1 + -10x = (-1 * -4 + 2x * -4) + -2x + -1 1 + -10x = (4 + -8x) + -2x + -1 Reorder the terms: 1 + -10x = 4 + -1 + -8x + -2x Combine like terms: 4 + -1 = 3 1 + -10x = 3 + -8x + -2x Combine like terms: -8x + -2x = -10x 1 + -10x = 3 + -10x Add '10x' to each side of the equation. 1 + -10x + 10x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 0 = 3 + -10x + 10x 1 = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 1 = 3 + 0 1 = 3 Solving 1 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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