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Simplifying 0.5(5 + -7x) = 8 + -4x + 6 (5 * 0.5 + -7x * 0.5) = 8 + -4x + 6 (2.5 + -3.5x) = 8 + -4x + 6 Reorder the terms: 2.5 + -3.5x = 8 + 6 + -4x Combine like terms: 8 + 6 = 14 2.5 + -3.5x = 14 + -4x Solving 2.5 + -3.5x = 14 + -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. 2.5 + -3.5x + 4x = 14 + -4x + 4x Combine like terms: -3.5x + 4x = 0.5x 2.5 + 0.5x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 2.5 + 0.5x = 14 + 0 2.5 + 0.5x = 14 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.5x = 14 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.5x = 14 + -2.5 0.5x = 14 + -2.5 Combine like terms: 14 + -2.5 = 11.5 0.5x = 11.5 Divide each side by '0.5'. x = 23 Simplifying x = 23
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