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Simplifying 0.5(6x + 4) + 0.25(16x + -12) = 0.75 Reorder the terms: 0.5(4 + 6x) + 0.25(16x + -12) = 0.75 (4 * 0.5 + 6x * 0.5) + 0.25(16x + -12) = 0.75 (2 + 3x) + 0.25(16x + -12) = 0.75 Reorder the terms: 2 + 3x + 0.25(-12 + 16x) = 0.75 2 + 3x + (-12 * 0.25 + 16x * 0.25) = 0.75 2 + 3x + (-3 + 4x) = 0.75 Reorder the terms: 2 + -3 + 3x + 4x = 0.75 Combine like terms: 2 + -3 = -1 -1 + 3x + 4x = 0.75 Combine like terms: 3x + 4x = 7x -1 + 7x = 0.75 Solving -1 + 7x = 0.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 0.75 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0.75 + 1 7x = 0.75 + 1 Combine like terms: 0.75 + 1 = 1.75 7x = 1.75 Divide each side by '7'. x = 0.25 Simplifying x = 0.25
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