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Simplifying 3x + 5 = 0.5(7x + 8) Reorder the terms: 5 + 3x = 0.5(7x + 8) Reorder the terms: 5 + 3x = 0.5(8 + 7x) 5 + 3x = (8 * 0.5 + 7x * 0.5) 5 + 3x = (4 + 3.5x) Solving 5 + 3x = 4 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 5 + 3x + -3.5x = 4 + 3.5x + -3.5x Combine like terms: 3x + -3.5x = -0.5x 5 + -0.5x = 4 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 5 + -0.5x = 4 + 0.0 5 + -0.5x = 4 Add '-5' to each side of the equation. 5 + -5 + -0.5x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = 4 + -5 -0.5x = 4 + -5 Combine like terms: 4 + -5 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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