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Simplifying 4x + -1(2x + -2y) + 10 = 5 4x + (2x * -1 + -2y * -1) + 10 = 5 4x + (-2x + 2y) + 10 = 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 = -5 2x + 2y = -5 Add '-2y' to each side of the equation. 2x + 2y + -2y = -5 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -5 + -2y 2x = -5 + -2y Divide each side by '2'. x = -2.5 + -1y Simplifying x = -2.5 + -1y
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