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Simplifying 5(x + 80) + -4(x + -20) = 5x Reorder the terms: 5(80 + x) + -4(x + -20) = 5x (80 * 5 + x * 5) + -4(x + -20) = 5x (400 + 5x) + -4(x + -20) = 5x Reorder the terms: 400 + 5x + -4(-20 + x) = 5x 400 + 5x + (-20 * -4 + x * -4) = 5x 400 + 5x + (80 + -4x) = 5x Reorder the terms: 400 + 80 + 5x + -4x = 5x Combine like terms: 400 + 80 = 480 480 + 5x + -4x = 5x Combine like terms: 5x + -4x = 1x 480 + 1x = 5x Solving 480 + 1x = 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. 480 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x 480 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 480 + -4x = 0 Add '-480' to each side of the equation. 480 + -480 + -4x = 0 + -480 Combine like terms: 480 + -480 = 0 0 + -4x = 0 + -480 -4x = 0 + -480 Combine like terms: 0 + -480 = -480 -4x = -480 Divide each side by '-4'. x = 120 Simplifying x = 120
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