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