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Simplifying (5x + -2y + 5) + -1(x + -5) = 0 Reorder the terms: (5 + 5x + -2y) + -1(x + -5) = 0 Remove parenthesis around (5 + 5x + -2y) 5 + 5x + -2y + -1(x + -5) = 0 Reorder the terms: 5 + 5x + -2y + -1(-5 + x) = 0 5 + 5x + -2y + (-5 * -1 + x * -1) = 0 5 + 5x + -2y + (5 + -1x) = 0 Reorder the terms: 5 + 5 + 5x + -1x + -2y = 0 Combine like terms: 5 + 5 = 10 10 + 5x + -1x + -2y = 0 Combine like terms: 5x + -1x = 4x 10 + 4x + -2y = 0 Solving 10 + 4x + -2y = 0 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 + 4x + -10 + -2y = 0 + -10 Reorder the terms: 10 + -10 + 4x + -2y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + -2y = 0 + -10 4x + -2y = 0 + -10 Combine like terms: 0 + -10 = -10 4x + -2y = -10 Add '2y' to each side of the equation. 4x + -2y + 2y = -10 + 2y Combine like terms: -2y + 2y = 0 4x + 0 = -10 + 2y 4x = -10 + 2y Divide each side by '4'. x = -2.5 + 0.5y Simplifying x = -2.5 + 0.5y
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