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Simplifying -3(x + 4) = 5x + 8 + -1(-4) Reorder the terms: -3(4 + x) = 5x + 8 + -1(-4) (4 * -3 + x * -3) = 5x + 8 + -1(-4) (-12 + -3x) = 5x + 8 + -1(-4) Multiply -1 * -4 -12 + -3x = 5x + 8 + 4 Reorder the terms: -12 + -3x = 8 + 4 + 5x Combine like terms: 8 + 4 = 12 -12 + -3x = 12 + 5x Solving -12 + -3x = 12 + 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 = 12 + 5x + -5x Combine like terms: -3x + -5x = -8x -12 + -8x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -8x = 12 + 0 -12 + -8x = 12 Add '12' to each side of the equation. -12 + 12 + -8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 12 + 12 -8x = 12 + 12 Combine like terms: 12 + 12 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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