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