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Simplifying 24(2x + 6) = 6(4x + 28) Reorder the terms: 24(6 + 2x) = 6(4x + 28) (6 * 24 + 2x * 24) = 6(4x + 28) (144 + 48x) = 6(4x + 28) Reorder the terms: 144 + 48x = 6(28 + 4x) 144 + 48x = (28 * 6 + 4x * 6) 144 + 48x = (168 + 24x) Solving 144 + 48x = 168 + 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. 144 + 48x + -24x = 168 + 24x + -24x Combine like terms: 48x + -24x = 24x 144 + 24x = 168 + 24x + -24x Combine like terms: 24x + -24x = 0 144 + 24x = 168 + 0 144 + 24x = 168 Add '-144' to each side of the equation. 144 + -144 + 24x = 168 + -144 Combine like terms: 144 + -144 = 0 0 + 24x = 168 + -144 24x = 168 + -144 Combine like terms: 168 + -144 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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