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Simplifying x + 0.50(6) = 0.80(x + 6) Multiply 0.50 * 6 x + 3 = 0.80(x + 6) Reorder the terms: 3 + x = 0.80(x + 6) Reorder the terms: 3 + x = 0.80(6 + x) 3 + x = (6 * 0.80 + x * 0.80) 3 + x = (4.8 + 0.80x) Solving 3 + x = 4.8 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. 3 + x + -0.80x = 4.8 + 0.80x + -0.80x Combine like terms: x + -0.80x = 0.2x 3 + 0.2x = 4.8 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 3 + 0.2x = 4.8 + 0.00 3 + 0.2x = 4.8 Add '-3' to each side of the equation. 3 + -3 + 0.2x = 4.8 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = 4.8 + -3 0.2x = 4.8 + -3 Combine like terms: 4.8 + -3 = 1.8 0.2x = 1.8 Divide each side by '0.2'. x = 9 Simplifying x = 9
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