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Simplifying 8(x + -2) + -3(2x + -4) = 2(x + 3) Reorder the terms: 8(-2 + x) + -3(2x + -4) = 2(x + 3) (-2 * 8 + x * 8) + -3(2x + -4) = 2(x + 3) (-16 + 8x) + -3(2x + -4) = 2(x + 3) Reorder the terms: -16 + 8x + -3(-4 + 2x) = 2(x + 3) -16 + 8x + (-4 * -3 + 2x * -3) = 2(x + 3) -16 + 8x + (12 + -6x) = 2(x + 3) Reorder the terms: -16 + 12 + 8x + -6x = 2(x + 3) Combine like terms: -16 + 12 = -4 -4 + 8x + -6x = 2(x + 3) Combine like terms: 8x + -6x = 2x -4 + 2x = 2(x + 3) Reorder the terms: -4 + 2x = 2(3 + x) -4 + 2x = (3 * 2 + x * 2) -4 + 2x = (6 + 2x) Add '-2x' to each side of the equation. -4 + 2x + -2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 0 = 6 + 2x + -2x -4 = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 = 6 + 0 -4 = 6 Solving -4 = 6 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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