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Simplifying 5(x + 2) = x + 6(3y + 2) Reorder the terms: 5(2 + x) = x + 6(3y + 2) (2 * 5 + x * 5) = x + 6(3y + 2) (10 + 5x) = x + 6(3y + 2) Reorder the terms: 10 + 5x = x + 6(2 + 3y) 10 + 5x = x + (2 * 6 + 3y * 6) 10 + 5x = x + (12 + 18y) Reorder the terms: 10 + 5x = 12 + x + 18y Solving 10 + 5x = 12 + x + 18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 5x + -1x = 12 + x + -1x + 18y Combine like terms: 5x + -1x = 4x 10 + 4x = 12 + x + -1x + 18y Combine like terms: x + -1x = 0 10 + 4x = 12 + 0 + 18y 10 + 4x = 12 + 18y Add '-10' to each side of the equation. 10 + -10 + 4x = 12 + -10 + 18y Combine like terms: 10 + -10 = 0 0 + 4x = 12 + -10 + 18y 4x = 12 + -10 + 18y Combine like terms: 12 + -10 = 2 4x = 2 + 18y Divide each side by '4'. x = 0.5 + 4.5y Simplifying x = 0.5 + 4.5y
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