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Simplifying 4(x + -3) + -1(2 + -5x) = x + -12 Reorder the terms: 4(-3 + x) + -1(2 + -5x) = x + -12 (-3 * 4 + x * 4) + -1(2 + -5x) = x + -12 (-12 + 4x) + -1(2 + -5x) = x + -12 -12 + 4x + (2 * -1 + -5x * -1) = x + -12 -12 + 4x + (-2 + 5x) = x + -12 Reorder the terms: -12 + -2 + 4x + 5x = x + -12 Combine like terms: -12 + -2 = -14 -14 + 4x + 5x = x + -12 Combine like terms: 4x + 5x = 9x -14 + 9x = x + -12 Reorder the terms: -14 + 9x = -12 + x Solving -14 + 9x = -12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 9x + -1x = -12 + x + -1x Combine like terms: 9x + -1x = 8x -14 + 8x = -12 + x + -1x Combine like terms: x + -1x = 0 -14 + 8x = -12 + 0 -14 + 8x = -12 Add '14' to each side of the equation. -14 + 14 + 8x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = -12 + 14 8x = -12 + 14 Combine like terms: -12 + 14 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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