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Simplifying 1(x + -5) + 7x = 4(2x + 3) + -10 Reorder the terms: 1(-5 + x) + 7x = 4(2x + 3) + -10 (-5 * 1 + x * 1) + 7x = 4(2x + 3) + -10 (-5 + 1x) + 7x = 4(2x + 3) + -10 Combine like terms: 1x + 7x = 8x -5 + 8x = 4(2x + 3) + -10 Reorder the terms: -5 + 8x = 4(3 + 2x) + -10 -5 + 8x = (3 * 4 + 2x * 4) + -10 -5 + 8x = (12 + 8x) + -10 Reorder the terms: -5 + 8x = 12 + -10 + 8x Combine like terms: 12 + -10 = 2 -5 + 8x = 2 + 8x Add '-8x' to each side of the equation. -5 + 8x + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 0 = 2 + 8x + -8x -5 = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 = 2 + 0 -5 = 2 Solving -5 = 2 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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