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Simplifying 24(2x + 9) = 6(4x + 40) Reorder the terms: 24(9 + 2x) = 6(4x + 40) (9 * 24 + 2x * 24) = 6(4x + 40) (216 + 48x) = 6(4x + 40) Reorder the terms: 216 + 48x = 6(40 + 4x) 216 + 48x = (40 * 6 + 4x * 6) 216 + 48x = (240 + 24x) Solving 216 + 48x = 240 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 216 + 48x + -24x = 240 + 24x + -24x Combine like terms: 48x + -24x = 24x 216 + 24x = 240 + 24x + -24x Combine like terms: 24x + -24x = 0 216 + 24x = 240 + 0 216 + 24x = 240 Add '-216' to each side of the equation. 216 + -216 + 24x = 240 + -216 Combine like terms: 216 + -216 = 0 0 + 24x = 240 + -216 24x = 240 + -216 Combine like terms: 240 + -216 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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