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Simplifying 0.5(7x + 2) = -4x + -43 Reorder the terms: 0.5(2 + 7x) = -4x + -43 (2 * 0.5 + 7x * 0.5) = -4x + -43 (1 + 3.5x) = -4x + -43 Reorder the terms: 1 + 3.5x = -43 + -4x Solving 1 + 3.5x = -43 + -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 = -43 + -4x + 4x Combine like terms: 3.5x + 4x = 7.5x 1 + 7.5x = -43 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7.5x = -43 + 0 1 + 7.5x = -43 Add '-1' to each side of the equation. 1 + -1 + 7.5x = -43 + -1 Combine like terms: 1 + -1 = 0 0 + 7.5x = -43 + -1 7.5x = -43 + -1 Combine like terms: -43 + -1 = -44 7.5x = -44 Divide each side by '7.5'. x = -5.866666667 Simplifying x = -5.866666667
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