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Simplifying 24(2x + 8) = 6(4x + 48) Reorder the terms: 24(8 + 2x) = 6(4x + 48) (8 * 24 + 2x * 24) = 6(4x + 48) (192 + 48x) = 6(4x + 48) Reorder the terms: 192 + 48x = 6(48 + 4x) 192 + 48x = (48 * 6 + 4x * 6) 192 + 48x = (288 + 24x) Solving 192 + 48x = 288 + 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. 192 + 48x + -24x = 288 + 24x + -24x Combine like terms: 48x + -24x = 24x 192 + 24x = 288 + 24x + -24x Combine like terms: 24x + -24x = 0 192 + 24x = 288 + 0 192 + 24x = 288 Add '-192' to each side of the equation. 192 + -192 + 24x = 288 + -192 Combine like terms: 192 + -192 = 0 0 + 24x = 288 + -192 24x = 288 + -192 Combine like terms: 288 + -192 = 96 24x = 96 Divide each side by '24'. x = 4 Simplifying x = 4
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