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