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Simplifying 3(-1x + -4) = 2x + 3(x + -5) Reorder the terms: 3(-4 + -1x) = 2x + 3(x + -5) (-4 * 3 + -1x * 3) = 2x + 3(x + -5) (-12 + -3x) = 2x + 3(x + -5) Reorder the terms: -12 + -3x = 2x + 3(-5 + x) -12 + -3x = 2x + (-5 * 3 + x * 3) -12 + -3x = 2x + (-15 + 3x) Reorder the terms: -12 + -3x = -15 + 2x + 3x Combine like terms: 2x + 3x = 5x -12 + -3x = -15 + 5x Solving -12 + -3x = -15 + 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 = -15 + 5x + -5x Combine like terms: -3x + -5x = -8x -12 + -8x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -8x = -15 + 0 -12 + -8x = -15 Add '12' to each side of the equation. -12 + 12 + -8x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -15 + 12 -8x = -15 + 12 Combine like terms: -15 + 12 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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