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Simplifying 0.25(3x + -8) = 2(0.5 + 4) Reorder the terms: 0.25(-8 + 3x) = 2(0.5 + 4) (-8 * 0.25 + 3x * 0.25) = 2(0.5 + 4) (-2 + 0.75x) = 2(0.5 + 4) Combine like terms: 0.5 + 4 = 4.5 -2 + 0.75x = 2(4.5) Multiply 2 * 4.5 -2 + 0.75x = 9 Solving -2 + 0.75x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 0.75x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 0.75x = 9 + 2 0.75x = 9 + 2 Combine like terms: 9 + 2 = 11 0.75x = 11 Divide each side by '0.75'. x = 14.66666667 Simplifying x = 14.66666667
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