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Simplifying 6(x + 80) = 7x + 20 Reorder the terms: 6(80 + x) = 7x + 20 (80 * 6 + x * 6) = 7x + 20 (480 + 6x) = 7x + 20 Reorder the terms: 480 + 6x = 20 + 7x Solving 480 + 6x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 480 + 6x + -7x = 20 + 7x + -7x Combine like terms: 6x + -7x = -1x 480 + -1x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 480 + -1x = 20 + 0 480 + -1x = 20 Add '-480' to each side of the equation. 480 + -480 + -1x = 20 + -480 Combine like terms: 480 + -480 = 0 0 + -1x = 20 + -480 -1x = 20 + -480 Combine like terms: 20 + -480 = -460 -1x = -460 Divide each side by '-1'. x = 460 Simplifying x = 460
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