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Simplifying 0.5(8x + -10) = 0.66(12x + -8) Reorder the terms: 0.5(-10 + 8x) = 0.66(12x + -8) (-10 * 0.5 + 8x * 0.5) = 0.66(12x + -8) (-5 + 4x) = 0.66(12x + -8) Reorder the terms: -5 + 4x = 0.66(-8 + 12x) -5 + 4x = (-8 * 0.66 + 12x * 0.66) -5 + 4x = (-5.28 + 7.92x) Solving -5 + 4x = -5.28 + 7.92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.92x' to each side of the equation. -5 + 4x + -7.92x = -5.28 + 7.92x + -7.92x Combine like terms: 4x + -7.92x = -3.92x -5 + -3.92x = -5.28 + 7.92x + -7.92x Combine like terms: 7.92x + -7.92x = 0.00 -5 + -3.92x = -5.28 + 0.00 -5 + -3.92x = -5.28 Add '5' to each side of the equation. -5 + 5 + -3.92x = -5.28 + 5 Combine like terms: -5 + 5 = 0 0 + -3.92x = -5.28 + 5 -3.92x = -5.28 + 5 Combine like terms: -5.28 + 5 = -0.28 -3.92x = -0.28 Divide each side by '-3.92'. x = 0.07142857143 Simplifying x = 0.07142857143
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