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