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Simplifying 5(x + 2y) + -3x + (3 + -2y) + 9 = 0 (x * 5 + 2y * 5) + -3x + (3 + -2y) + 9 = 0 (5x + 10y) + -3x + (3 + -2y) + 9 = 0 Remove parenthesis around (3 + -2y) 5x + 10y + -3x + 3 + -2y + 9 = 0 Reorder the terms: 3 + 9 + 5x + -3x + 10y + -2y = 0 Combine like terms: 3 + 9 = 12 12 + 5x + -3x + 10y + -2y = 0 Combine like terms: 5x + -3x = 2x 12 + 2x + 10y + -2y = 0 Combine like terms: 10y + -2y = 8y 12 + 2x + 8y = 0 Solving 12 + 2x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2x + -12 + 8y = 0 + -12 Reorder the terms: 12 + -12 + 2x + 8y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x + 8y = 0 + -12 2x + 8y = 0 + -12 Combine like terms: 0 + -12 = -12 2x + 8y = -12 Add '-8y' to each side of the equation. 2x + 8y + -8y = -12 + -8y Combine like terms: 8y + -8y = 0 2x + 0 = -12 + -8y 2x = -12 + -8y Divide each side by '2'. x = -6 + -4y Simplifying x = -6 + -4y
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