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Simplifying 0.5(7 + -5x) = 6 + -1(2x + 8) (7 * 0.5 + -5x * 0.5) = 6 + -1(2x + 8) (3.5 + -2.5x) = 6 + -1(2x + 8) Reorder the terms: 3.5 + -2.5x = 6 + -1(8 + 2x) 3.5 + -2.5x = 6 + (8 * -1 + 2x * -1) 3.5 + -2.5x = 6 + (-8 + -2x) Combine like terms: 6 + -8 = -2 3.5 + -2.5x = -2 + -2x Solving 3.5 + -2.5x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3.5 + -2.5x + 2x = -2 + -2x + 2x Combine like terms: -2.5x + 2x = -0.5x 3.5 + -0.5x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 3.5 + -0.5x = -2 + 0 3.5 + -0.5x = -2 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -0.5x = -2 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.5x = -2 + -3.5 -0.5x = -2 + -3.5 Combine like terms: -2 + -3.5 = -5.5 -0.5x = -5.5 Divide each side by '-0.5'. x = 11 Simplifying x = 11
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