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Simplifying 3x + -12 + 5x = 4(x + -5) Reorder the terms: -12 + 3x + 5x = 4(x + -5) Combine like terms: 3x + 5x = 8x -12 + 8x = 4(x + -5) Reorder the terms: -12 + 8x = 4(-5 + x) -12 + 8x = (-5 * 4 + x * 4) -12 + 8x = (-20 + 4x) Solving -12 + 8x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 8x + -4x = -20 + 4x + -4x Combine like terms: 8x + -4x = 4x -12 + 4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 4x = -20 + 0 -12 + 4x = -20 Add '12' to each side of the equation. -12 + 12 + 4x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -20 + 12 4x = -20 + 12 Combine like terms: -20 + 12 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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