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Simplifying 4x + -1(2x + 10) + -2y = 5 Reorder the terms: 4x + -1(10 + 2x) + -2y = 5 4x + (10 * -1 + 2x * -1) + -2y = 5 4x + (-10 + -2x) + -2y = 5 Reorder the terms: -10 + 4x + -2x + -2y = 5 Combine like terms: 4x + -2x = 2x -10 + 2x + -2y = 5 Solving -10 + 2x + -2y = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + 10 + -2y = 5 + 10 Reorder the terms: -10 + 10 + 2x + -2y = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + -2y = 5 + 10 2x + -2y = 5 + 10 Combine like terms: 5 + 10 = 15 2x + -2y = 15 Add '2y' to each side of the equation. 2x + -2y + 2y = 15 + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 15 + 2y 2x = 15 + 2y Divide each side by '2'. x = 7.5 + y Simplifying x = 7.5 + y
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