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Simplifying 5(x + 2) + -2x + 5y = 0 Reorder the terms: 5(2 + x) + -2x + 5y = 0 (2 * 5 + x * 5) + -2x + 5y = 0 (10 + 5x) + -2x + 5y = 0 Combine like terms: 5x + -2x = 3x 10 + 3x + 5y = 0 Solving 10 + 3x + 5y = 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 + 3x + -10 + 5y = 0 + -10 Reorder the terms: 10 + -10 + 3x + 5y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + 5y = 0 + -10 3x + 5y = 0 + -10 Combine like terms: 0 + -10 = -10 3x + 5y = -10 Add '-5y' to each side of the equation. 3x + 5y + -5y = -10 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = -10 + -5y 3x = -10 + -5y Divide each side by '3'. x = -3.333333333 + -1.666666667y Simplifying x = -3.333333333 + -1.666666667y
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