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Simplifying 5(x + 2) + -5(y + 3) + -2x + 5y = 0 Reorder the terms: 5(2 + x) + -5(y + 3) + -2x + 5y = 0 (2 * 5 + x * 5) + -5(y + 3) + -2x + 5y = 0 (10 + 5x) + -5(y + 3) + -2x + 5y = 0 Reorder the terms: 10 + 5x + -5(3 + y) + -2x + 5y = 0 10 + 5x + (3 * -5 + y * -5) + -2x + 5y = 0 10 + 5x + (-15 + -5y) + -2x + 5y = 0 Reorder the terms: 10 + -15 + 5x + -2x + -5y + 5y = 0 Combine like terms: 10 + -15 = -5 -5 + 5x + -2x + -5y + 5y = 0 Combine like terms: 5x + -2x = 3x -5 + 3x + -5y + 5y = 0 Combine like terms: -5y + 5y = 0 -5 + 3x + 0 = 0 -5 + 3x = 0 Solving -5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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