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Simplifying 0.25(24x + 16) = 4(x + 4) + x Reorder the terms: 0.25(16 + 24x) = 4(x + 4) + x (16 * 0.25 + 24x * 0.25) = 4(x + 4) + x (4 + 6x) = 4(x + 4) + x Reorder the terms: 4 + 6x = 4(4 + x) + x 4 + 6x = (4 * 4 + x * 4) + x 4 + 6x = (16 + 4x) + x Combine like terms: 4x + x = 5x 4 + 6x = 16 + 5x Solving 4 + 6x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 6x + -5x = 16 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 16 + 0 4 + 1x = 16 Add '-4' to each side of the equation. 4 + -4 + 1x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 16 + -4 1x = 16 + -4 Combine like terms: 16 + -4 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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