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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) Remove parenthesis around (6 + 4x) -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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