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Simplifying 0.5(5 + -7x) = 8 + -1(4x + 6x) (5 * 0.5 + -7x * 0.5) = 8 + -1(4x + 6x) (2.5 + -3.5x) = 8 + -1(4x + 6x) Combine like terms: 4x + 6x = 10x 2.5 + -3.5x = 8 + -1(10x) Remove parenthesis around (10x) 2.5 + -3.5x = 8 + -1 * 10x Multiply -1 * 10 2.5 + -3.5x = 8 + -10x Solving 2.5 + -3.5x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 2.5 + -3.5x + 10x = 8 + -10x + 10x Combine like terms: -3.5x + 10x = 6.5x 2.5 + 6.5x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 2.5 + 6.5x = 8 + 0 2.5 + 6.5x = 8 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 6.5x = 8 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 6.5x = 8 + -2.5 6.5x = 8 + -2.5 Combine like terms: 8 + -2.5 = 5.5 6.5x = 5.5 Divide each side by '6.5'. x = 0.8461538462 Simplifying x = 0.8461538462
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