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