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Simplifying 4 + -3x + 8 = 5(x + -4) Reorder the terms: 4 + 8 + -3x = 5(x + -4) Combine like terms: 4 + 8 = 12 12 + -3x = 5(x + -4) Reorder the terms: 12 + -3x = 5(-4 + x) 12 + -3x = (-4 * 5 + x * 5) 12 + -3x = (-20 + 5x) Solving 12 + -3x = -20 + 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 = -20 + 5x + -5x Combine like terms: -3x + -5x = -8x 12 + -8x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -8x = -20 + 0 12 + -8x = -20 Add '-12' to each side of the equation. 12 + -12 + -8x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -20 + -12 -8x = -20 + -12 Combine like terms: -20 + -12 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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