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Simplifying 0.66(6x + -15) = 0.5(10x + -4) Reorder the terms: 0.66(-15 + 6x) = 0.5(10x + -4) (-15 * 0.66 + 6x * 0.66) = 0.5(10x + -4) (-9.9 + 3.96x) = 0.5(10x + -4) Reorder the terms: -9.9 + 3.96x = 0.5(-4 + 10x) -9.9 + 3.96x = (-4 * 0.5 + 10x * 0.5) -9.9 + 3.96x = (-2 + 5x) Solving -9.9 + 3.96x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9.9 + 3.96x + -5x = -2 + 5x + -5x Combine like terms: 3.96x + -5x = -1.04x -9.9 + -1.04x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -9.9 + -1.04x = -2 + 0 -9.9 + -1.04x = -2 Add '9.9' to each side of the equation. -9.9 + 9.9 + -1.04x = -2 + 9.9 Combine like terms: -9.9 + 9.9 = 0.0 0.0 + -1.04x = -2 + 9.9 -1.04x = -2 + 9.9 Combine like terms: -2 + 9.9 = 7.9 -1.04x = 7.9 Divide each side by '-1.04'. x = -7.596153846 Simplifying x = -7.596153846
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