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Simplifying 0.25(8 + 4x) * 1 + -2 = 5x + 12 + 10 Reorder the terms for easier multiplication: 0.25 * 1(8 + 4x) + -2 = 5x + 12 + 10 Multiply 0.25 * 1 0.25(8 + 4x) + -2 = 5x + 12 + 10 (8 * 0.25 + 4x * 0.25) + -2 = 5x + 12 + 10 (2 + 1x) + -2 = 5x + 12 + 10 Reorder the terms: 2 + -2 + 1x = 5x + 12 + 10 Combine like terms: 2 + -2 = 0 0 + 1x = 5x + 12 + 10 1x = 5x + 12 + 10 Reorder the terms: 1x = 12 + 10 + 5x Combine like terms: 12 + 10 = 22 1x = 22 + 5x Solving 1x = 22 + 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. 1x + -5x = 22 + 5x + -5x Combine like terms: 1x + -5x = -4x -4x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -4x = 22 + 0 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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