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Simplifying 2(x + -4) + 3y = 10 Reorder the terms: 2(-4 + x) + 3y = 10 (-4 * 2 + x * 2) + 3y = 10 (-8 + 2x) + 3y = 10 Solving -8 + 2x + 3y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2x + 8 + 3y = 10 + 8 Reorder the terms: -8 + 8 + 2x + 3y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x + 3y = 10 + 8 2x + 3y = 10 + 8 Combine like terms: 10 + 8 = 18 2x + 3y = 18 Add '-3y' to each side of the equation. 2x + 3y + -3y = 18 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 18 + -3y 2x = 18 + -3y Divide each side by '2'. x = 9 + -1.5y Simplifying x = 9 + -1.5y
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