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Simplifying 3(x + -4) = 6x + -1(4 + -5x) Reorder the terms: 3(-4 + x) = 6x + -1(4 + -5x) (-4 * 3 + x * 3) = 6x + -1(4 + -5x) (-12 + 3x) = 6x + -1(4 + -5x) -12 + 3x = 6x + (4 * -1 + -5x * -1) -12 + 3x = 6x + (-4 + 5x) Reorder the terms: -12 + 3x = -4 + 6x + 5x Combine like terms: 6x + 5x = 11x -12 + 3x = -4 + 11x Solving -12 + 3x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -12 + 3x + -11x = -4 + 11x + -11x Combine like terms: 3x + -11x = -8x -12 + -8x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + -8x = -4 + 0 -12 + -8x = -4 Add '12' to each side of the equation. -12 + 12 + -8x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -4 + 12 -8x = -4 + 12 Combine like terms: -4 + 12 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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