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Simplifying 2x + -5 + 4(6 + -3x) = 7(4 + -1x) + -3(x + 9) 2x + -5 + (6 * 4 + -3x * 4) = 7(4 + -1x) + -3(x + 9) 2x + -5 + (24 + -12x) = 7(4 + -1x) + -3(x + 9) Reorder the terms: -5 + 24 + 2x + -12x = 7(4 + -1x) + -3(x + 9) Combine like terms: -5 + 24 = 19 19 + 2x + -12x = 7(4 + -1x) + -3(x + 9) Combine like terms: 2x + -12x = -10x 19 + -10x = 7(4 + -1x) + -3(x + 9) 19 + -10x = (4 * 7 + -1x * 7) + -3(x + 9) 19 + -10x = (28 + -7x) + -3(x + 9) Reorder the terms: 19 + -10x = 28 + -7x + -3(9 + x) 19 + -10x = 28 + -7x + (9 * -3 + x * -3) 19 + -10x = 28 + -7x + (-27 + -3x) Reorder the terms: 19 + -10x = 28 + -27 + -7x + -3x Combine like terms: 28 + -27 = 1 19 + -10x = 1 + -7x + -3x Combine like terms: -7x + -3x = -10x 19 + -10x = 1 + -10x Add '10x' to each side of the equation. 19 + -10x + 10x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 19 + 0 = 1 + -10x + 10x 19 = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 19 = 1 + 0 19 = 1 Solving 19 = 1 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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