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Simplifying -3x + -4(3 + -3x) = 5(x + -4) + -4 -3x + (3 * -4 + -3x * -4) = 5(x + -4) + -4 -3x + (-12 + 12x) = 5(x + -4) + -4 Reorder the terms: -12 + -3x + 12x = 5(x + -4) + -4 Combine like terms: -3x + 12x = 9x -12 + 9x = 5(x + -4) + -4 Reorder the terms: -12 + 9x = 5(-4 + x) + -4 -12 + 9x = (-4 * 5 + x * 5) + -4 -12 + 9x = (-20 + 5x) + -4 Reorder the terms: -12 + 9x = -20 + -4 + 5x Combine like terms: -20 + -4 = -24 -12 + 9x = -24 + 5x Solving -12 + 9x = -24 + 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 + 9x + -5x = -24 + 5x + -5x Combine like terms: 9x + -5x = 4x -12 + 4x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 4x = -24 + 0 -12 + 4x = -24 Add '12' to each side of the equation. -12 + 12 + 4x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -24 + 12 4x = -24 + 12 Combine like terms: -24 + 12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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