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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 + -8 + 3.5x = 4x + 6 Combine like terms: 2.5 + -8 = -5.5 -5.5 + 3.5x = 4x + 6 Reorder the terms: -5.5 + 3.5x = 6 + 4x Solving -5.5 + 3.5x = 6 + 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. -5.5 + 3.5x + -4x = 6 + 4x + -4x Combine like terms: 3.5x + -4x = -0.5x -5.5 + -0.5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -5.5 + -0.5x = 6 + 0 -5.5 + -0.5x = 6 Add '5.5' to each side of the equation. -5.5 + 5.5 + -0.5x = 6 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -0.5x = 6 + 5.5 -0.5x = 6 + 5.5 Combine like terms: 6 + 5.5 = 11.5 -0.5x = 11.5 Divide each side by '-0.5'. x = -23 Simplifying x = -23
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