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Simplifying 3x + -5y + 10 + 6x + 3y = -6 Reorder the terms: 10 + 3x + 6x + -5y + 3y = -6 Combine like terms: 3x + 6x = 9x 10 + 9x + -5y + 3y = -6 Combine like terms: -5y + 3y = -2y 10 + 9x + -2y = -6 Solving 10 + 9x + -2y = -6 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 + 9x + -10 + -2y = -6 + -10 Reorder the terms: 10 + -10 + 9x + -2y = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 9x + -2y = -6 + -10 9x + -2y = -6 + -10 Combine like terms: -6 + -10 = -16 9x + -2y = -16 Add '2y' to each side of the equation. 9x + -2y + 2y = -16 + 2y Combine like terms: -2y + 2y = 0 9x + 0 = -16 + 2y 9x = -16 + 2y Divide each side by '9'. x = -1.777777778 + 0.2222222222y Simplifying x = -1.777777778 + 0.2222222222y
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