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Simplifying 0.5(7x + 2) = 8 + -1(4x + 6) Reorder the terms: 0.5(2 + 7x) = 8 + -1(4x + 6) (2 * 0.5 + 7x * 0.5) = 8 + -1(4x + 6) (1 + 3.5x) = 8 + -1(4x + 6) Reorder the terms: 1 + 3.5x = 8 + -1(6 + 4x) 1 + 3.5x = 8 + (6 * -1 + 4x * -1) 1 + 3.5x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 1 + 3.5x = 2 + -4x Solving 1 + 3.5x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 3.5x + 4x = 2 + -4x + 4x Combine like terms: 3.5x + 4x = 7.5x 1 + 7.5x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7.5x = 2 + 0 1 + 7.5x = 2 Add '-1' to each side of the equation. 1 + -1 + 7.5x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 7.5x = 2 + -1 7.5x = 2 + -1 Combine like terms: 2 + -1 = 1 7.5x = 1 Divide each side by '7.5'. x = 0.1333333333 Simplifying x = 0.1333333333
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