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Simplifying x + 0.50(6) = 0.70(x + 6) Multiply 0.50 * 6 x + 3 = 0.70(x + 6) Reorder the terms: 3 + x = 0.70(x + 6) Reorder the terms: 3 + x = 0.70(6 + x) 3 + x = (6 * 0.70 + x * 0.70) 3 + x = (4.2 + 0.70x) Solving 3 + x = 4.2 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 3 + x + -0.70x = 4.2 + 0.70x + -0.70x Combine like terms: x + -0.70x = 0.3x 3 + 0.3x = 4.2 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 3 + 0.3x = 4.2 + 0.00 3 + 0.3x = 4.2 Add '-3' to each side of the equation. 3 + -3 + 0.3x = 4.2 + -3 Combine like terms: 3 + -3 = 0 0 + 0.3x = 4.2 + -3 0.3x = 4.2 + -3 Combine like terms: 4.2 + -3 = 1.2 0.3x = 1.2 Divide each side by '0.3'. x = 4 Simplifying x = 4
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