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Simplifying 2(5x + 2) = 30x + 3y + 10 Reorder the terms: 2(2 + 5x) = 30x + 3y + 10 (2 * 2 + 5x * 2) = 30x + 3y + 10 (4 + 10x) = 30x + 3y + 10 Reorder the terms: 4 + 10x = 10 + 30x + 3y Solving 4 + 10x = 10 + 30x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 10x + -30x = 10 + 30x + -30x + 3y Combine like terms: 10x + -30x = -20x 4 + -20x = 10 + 30x + -30x + 3y Combine like terms: 30x + -30x = 0 4 + -20x = 10 + 0 + 3y 4 + -20x = 10 + 3y Add '-4' to each side of the equation. 4 + -4 + -20x = 10 + -4 + 3y Combine like terms: 4 + -4 = 0 0 + -20x = 10 + -4 + 3y -20x = 10 + -4 + 3y Combine like terms: 10 + -4 = 6 -20x = 6 + 3y Divide each side by '-20'. x = -0.3 + -0.15y Simplifying x = -0.3 + -0.15y
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