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Simplifying 2x + -4(x + -2) + -3(2x + 12) + -1(4 + x) = -131 Reorder the terms: 2x + -4(-2 + x) + -3(2x + 12) + -1(4 + x) = -131 2x + (-2 * -4 + x * -4) + -3(2x + 12) + -1(4 + x) = -131 2x + (8 + -4x) + -3(2x + 12) + -1(4 + x) = -131 Reorder the terms: 2x + 8 + -4x + -3(12 + 2x) + -1(4 + x) = -131 2x + 8 + -4x + (12 * -3 + 2x * -3) + -1(4 + x) = -131 2x + 8 + -4x + (-36 + -6x) + -1(4 + x) = -131 2x + 8 + -4x + -36 + -6x + (4 * -1 + x * -1) = -131 2x + 8 + -4x + -36 + -6x + (-4 + -1x) = -131 Reorder the terms: 8 + -36 + -4 + 2x + -4x + -6x + -1x = -131 Combine like terms: 8 + -36 = -28 -28 + -4 + 2x + -4x + -6x + -1x = -131 Combine like terms: -28 + -4 = -32 -32 + 2x + -4x + -6x + -1x = -131 Combine like terms: 2x + -4x = -2x -32 + -2x + -6x + -1x = -131 Combine like terms: -2x + -6x = -8x -32 + -8x + -1x = -131 Combine like terms: -8x + -1x = -9x -32 + -9x = -131 Solving -32 + -9x = -131 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -9x = -131 + 32 Combine like terms: -32 + 32 = 0 0 + -9x = -131 + 32 -9x = -131 + 32 Combine like terms: -131 + 32 = -99 -9x = -99 Divide each side by '-9'. x = 11 Simplifying x = 11
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