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Simplifying 3(-1x + -4) = 5(x + 2) Reorder the terms: 3(-4 + -1x) = 5(x + 2) (-4 * 3 + -1x * 3) = 5(x + 2) (-12 + -3x) = 5(x + 2) Reorder the terms: -12 + -3x = 5(2 + x) -12 + -3x = (2 * 5 + x * 5) -12 + -3x = (10 + 5x) Solving -12 + -3x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -3x + -5x = 10 + 5x + -5x Combine like terms: -3x + -5x = -8x -12 + -8x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -8x = 10 + 0 -12 + -8x = 10 Add '12' to each side of the equation. -12 + 12 + -8x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 10 + 12 -8x = 10 + 12 Combine like terms: 10 + 12 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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