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Simplifying (4 + x) * 2 = 6 + 5x Reorder the terms for easier multiplication: 2(4 + x) = 6 + 5x (4 * 2 + x * 2) = 6 + 5x (8 + 2x) = 6 + 5x Solving 8 + 2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = 6 + 0 8 + -3x = 6 Add '-8' to each side of the equation. 8 + -8 + -3x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 6 + -8 -3x = 6 + -8 Combine like terms: 6 + -8 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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