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Simplifying 12 + 0.25(4x + -8) = 8x + 4 Reorder the terms: 12 + 0.25(-8 + 4x) = 8x + 4 12 + (-8 * 0.25 + 4x * 0.25) = 8x + 4 12 + (-2 + 1x) = 8x + 4 Combine like terms: 12 + -2 = 10 10 + 1x = 8x + 4 Reorder the terms: 10 + 1x = 4 + 8x Solving 10 + 1x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 1x + -8x = 4 + 8x + -8x Combine like terms: 1x + -8x = -7x 10 + -7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -7x = 4 + 0 10 + -7x = 4 Add '-10' to each side of the equation. 10 + -10 + -7x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 4 + -10 -7x = 4 + -10 Combine like terms: 4 + -10 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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