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Simplifying 24(2x + 7) = 6(4x + 32) Reorder the terms: 24(7 + 2x) = 6(4x + 32) (7 * 24 + 2x * 24) = 6(4x + 32) (168 + 48x) = 6(4x + 32) Reorder the terms: 168 + 48x = 6(32 + 4x) 168 + 48x = (32 * 6 + 4x * 6) 168 + 48x = (192 + 24x) Solving 168 + 48x = 192 + 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. 168 + 48x + -24x = 192 + 24x + -24x Combine like terms: 48x + -24x = 24x 168 + 24x = 192 + 24x + -24x Combine like terms: 24x + -24x = 0 168 + 24x = 192 + 0 168 + 24x = 192 Add '-168' to each side of the equation. 168 + -168 + 24x = 192 + -168 Combine like terms: 168 + -168 = 0 0 + 24x = 192 + -168 24x = 192 + -168 Combine like terms: 192 + -168 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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