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Simplifying 8(x + -4) + 2(x + 9) = 4(x + -3) + 6x Reorder the terms: 8(-4 + x) + 2(x + 9) = 4(x + -3) + 6x (-4 * 8 + x * 8) + 2(x + 9) = 4(x + -3) + 6x (-32 + 8x) + 2(x + 9) = 4(x + -3) + 6x Reorder the terms: -32 + 8x + 2(9 + x) = 4(x + -3) + 6x -32 + 8x + (9 * 2 + x * 2) = 4(x + -3) + 6x -32 + 8x + (18 + 2x) = 4(x + -3) + 6x Reorder the terms: -32 + 18 + 8x + 2x = 4(x + -3) + 6x Combine like terms: -32 + 18 = -14 -14 + 8x + 2x = 4(x + -3) + 6x Combine like terms: 8x + 2x = 10x -14 + 10x = 4(x + -3) + 6x Reorder the terms: -14 + 10x = 4(-3 + x) + 6x -14 + 10x = (-3 * 4 + x * 4) + 6x -14 + 10x = (-12 + 4x) + 6x Combine like terms: 4x + 6x = 10x -14 + 10x = -12 + 10x Add '-10x' to each side of the equation. -14 + 10x + -10x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 0 = -12 + 10x + -10x -14 = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 = -12 + 0 -14 = -12 Solving -14 = -12 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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