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Simplifying 0.75(-10 + 8) = 0.50(6x + -10) Combine like terms: -10 + 8 = -2 0.75(-2) = 0.50(6x + -10) Multiply 0.75 * -2 -1.5 = 0.50(6x + -10) Reorder the terms: -1.5 = 0.50(-10 + 6x) -1.5 = (-10 * 0.50 + 6x * 0.50) -1.5 = (-5 + 3x) Solving -1.5 = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.5 + -3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.5 + -3x = -5 + 0 -1.5 + -3x = -5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -3x = -5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3x = -5 + 1.5 -3x = -5 + 1.5 Combine like terms: -5 + 1.5 = -3.5 -3x = -3.5 Divide each side by '-3'. x = 1.166666667 Simplifying x = 1.166666667
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