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Simplifying 0.5(5 + -7x) = 8 + -1(4 + 6) (5 * 0.5 + -7x * 0.5) = 8 + -1(4 + 6) (2.5 + -3.5x) = 8 + -1(4 + 6) Combine like terms: 4 + 6 = 10 2.5 + -3.5x = 8 + -1(10) Multiply -1 * 10 2.5 + -3.5x = 8 + -10 Combine like terms: 8 + -10 = -2 2.5 + -3.5x = -2 Solving 2.5 + -3.5x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + -3.5x = -2 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -3.5x = -2 + -2.5 -3.5x = -2 + -2.5 Combine like terms: -2 + -2.5 = -4.5 -3.5x = -4.5 Divide each side by '-3.5'. x = 1.285714286 Simplifying x = 1.285714286
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