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Simplifying 3(x + -6) + 2(y + 2) = 14 Reorder the terms: 3(-6 + x) + 2(y + 2) = 14 (-6 * 3 + x * 3) + 2(y + 2) = 14 (-18 + 3x) + 2(y + 2) = 14 Reorder the terms: -18 + 3x + 2(2 + y) = 14 -18 + 3x + (2 * 2 + y * 2) = 14 -18 + 3x + (4 + 2y) = 14 Reorder the terms: -18 + 4 + 3x + 2y = 14 Combine like terms: -18 + 4 = -14 -14 + 3x + 2y = 14 Solving -14 + 3x + 2y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3x + 14 + 2y = 14 + 14 Reorder the terms: -14 + 14 + 3x + 2y = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 3x + 2y = 14 + 14 3x + 2y = 14 + 14 Combine like terms: 14 + 14 = 28 3x + 2y = 28 Add '-2y' to each side of the equation. 3x + 2y + -2y = 28 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 28 + -2y 3x = 28 + -2y Divide each side by '3'. x = 9.333333333 + -0.6666666667y Simplifying x = 9.333333333 + -0.6666666667y
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