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Simplifying 0.25(8x + -12) = 6(0.33x + -0.5) + 6 Reorder the terms: 0.25(-12 + 8x) = 6(0.33x + -0.5) + 6 (-12 * 0.25 + 8x * 0.25) = 6(0.33x + -0.5) + 6 (-3 + 2x) = 6(0.33x + -0.5) + 6 Reorder the terms: -3 + 2x = 6(-0.5 + 0.33x) + 6 -3 + 2x = (-0.5 * 6 + 0.33x * 6) + 6 -3 + 2x = (-3 + 1.98x) + 6 Reorder the terms: -3 + 2x = -3 + 6 + 1.98x Combine like terms: -3 + 6 = 3 -3 + 2x = 3 + 1.98x Solving -3 + 2x = 3 + 1.98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.98x' to each side of the equation. -3 + 2x + -1.98x = 3 + 1.98x + -1.98x Combine like terms: 2x + -1.98x = 0.02x -3 + 0.02x = 3 + 1.98x + -1.98x Combine like terms: 1.98x + -1.98x = 0.00 -3 + 0.02x = 3 + 0.00 -3 + 0.02x = 3 Add '3' to each side of the equation. -3 + 3 + 0.02x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 0.02x = 3 + 3 0.02x = 3 + 3 Combine like terms: 3 + 3 = 6 0.02x = 6 Divide each side by '0.02'. x = 300 Simplifying x = 300
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