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Simplifying 5(4 + 8x) = -4x + -4(x + -5) (4 * 5 + 8x * 5) = -4x + -4(x + -5) (20 + 40x) = -4x + -4(x + -5) Reorder the terms: 20 + 40x = -4x + -4(-5 + x) 20 + 40x = -4x + (-5 * -4 + x * -4) 20 + 40x = -4x + (20 + -4x) Reorder the terms: 20 + 40x = 20 + -4x + -4x Combine like terms: -4x + -4x = -8x 20 + 40x = 20 + -8x Add '-20' to each side of the equation. 20 + -20 + 40x = 20 + -20 + -8x Combine like terms: 20 + -20 = 0 0 + 40x = 20 + -20 + -8x 40x = 20 + -20 + -8x Combine like terms: 20 + -20 = 0 40x = 0 + -8x 40x = -8x Solving 40x = -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. 40x + 8x = -8x + 8x Combine like terms: 40x + 8x = 48x 48x = -8x + 8x Combine like terms: -8x + 8x = 0 48x = 0 Divide each side by '48'. x = 0 Simplifying x = 0
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