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Simplifying 5(2x + 4) = -4(-5 + -3x) + 3x Reorder the terms: 5(4 + 2x) = -4(-5 + -3x) + 3x (4 * 5 + 2x * 5) = -4(-5 + -3x) + 3x (20 + 10x) = -4(-5 + -3x) + 3x 20 + 10x = (-5 * -4 + -3x * -4) + 3x 20 + 10x = (20 + 12x) + 3x Combine like terms: 12x + 3x = 15x 20 + 10x = 20 + 15x Add '-20' to each side of the equation. 20 + -20 + 10x = 20 + -20 + 15x Combine like terms: 20 + -20 = 0 0 + 10x = 20 + -20 + 15x 10x = 20 + -20 + 15x Combine like terms: 20 + -20 = 0 10x = 0 + 15x 10x = 15x Solving 10x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x -5x = 15x + -15x Combine like terms: 15x + -15x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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