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Simplifying 7x + -6 = 0.5(5x + 16) Reorder the terms: -6 + 7x = 0.5(5x + 16) Reorder the terms: -6 + 7x = 0.5(16 + 5x) -6 + 7x = (16 * 0.5 + 5x * 0.5) -6 + 7x = (8 + 2.5x) Solving -6 + 7x = 8 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -6 + 7x + -2.5x = 8 + 2.5x + -2.5x Combine like terms: 7x + -2.5x = 4.5x -6 + 4.5x = 8 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -6 + 4.5x = 8 + 0.0 -6 + 4.5x = 8 Add '6' to each side of the equation. -6 + 6 + 4.5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 4.5x = 8 + 6 4.5x = 8 + 6 Combine like terms: 8 + 6 = 14 4.5x = 14 Divide each side by '4.5'. x = 3.111111111 Simplifying x = 3.111111111
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