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Simplifying [3x + -6] + [2y + -10] = 0 Reorder the terms: [-6 + 3x] + [2y + -10] = 0 Remove brackets around [-6 + 3x] -6 + 3x + [2y + -10] = 0 Reorder the terms: -6 + 3x + [-10 + 2y] = 0 Remove brackets around [-10 + 2y] -6 + 3x + -10 + 2y = 0 Reorder the terms: -6 + -10 + 3x + 2y = 0 Combine like terms: -6 + -10 = -16 -16 + 3x + 2y = 0 Solving -16 + 3x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 3x + 16 + 2y = 0 + 16 Reorder the terms: -16 + 16 + 3x + 2y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3x + 2y = 0 + 16 3x + 2y = 0 + 16 Combine like terms: 0 + 16 = 16 3x + 2y = 16 Add '-2y' to each side of the equation. 3x + 2y + -2y = 16 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 16 + -2y 3x = 16 + -2y Divide each side by '3'. x = 5.333333333 + -0.6666666667y Simplifying x = 5.333333333 + -0.6666666667y
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