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Simplifying 3(x + -2) + -4(2 + 3x) = -1(x + 10) + -2(4x + -5) Reorder the terms: 3(-2 + x) + -4(2 + 3x) = -1(x + 10) + -2(4x + -5) (-2 * 3 + x * 3) + -4(2 + 3x) = -1(x + 10) + -2(4x + -5) (-6 + 3x) + -4(2 + 3x) = -1(x + 10) + -2(4x + -5) -6 + 3x + (2 * -4 + 3x * -4) = -1(x + 10) + -2(4x + -5) -6 + 3x + (-8 + -12x) = -1(x + 10) + -2(4x + -5) Reorder the terms: -6 + -8 + 3x + -12x = -1(x + 10) + -2(4x + -5) Combine like terms: -6 + -8 = -14 -14 + 3x + -12x = -1(x + 10) + -2(4x + -5) Combine like terms: 3x + -12x = -9x -14 + -9x = -1(x + 10) + -2(4x + -5) Reorder the terms: -14 + -9x = -1(10 + x) + -2(4x + -5) -14 + -9x = (10 * -1 + x * -1) + -2(4x + -5) -14 + -9x = (-10 + -1x) + -2(4x + -5) Reorder the terms: -14 + -9x = -10 + -1x + -2(-5 + 4x) -14 + -9x = -10 + -1x + (-5 * -2 + 4x * -2) -14 + -9x = -10 + -1x + (10 + -8x) Reorder the terms: -14 + -9x = -10 + 10 + -1x + -8x Combine like terms: -10 + 10 = 0 -14 + -9x = 0 + -1x + -8x -14 + -9x = -1x + -8x Combine like terms: -1x + -8x = -9x -14 + -9x = -9x Add '9x' to each side of the equation. -14 + -9x + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 0 = -9x + 9x -14 = -9x + 9x Combine like terms: -9x + 9x = 0 -14 = 0 Solving -14 = 0 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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