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Simplifying 6x + 2(y + -7) = 5(y + 1) + -2 Reorder the terms: 6x + 2(-7 + y) = 5(y + 1) + -2 6x + (-7 * 2 + y * 2) = 5(y + 1) + -2 6x + (-14 + 2y) = 5(y + 1) + -2 Reorder the terms: -14 + 6x + 2y = 5(y + 1) + -2 Reorder the terms: -14 + 6x + 2y = 5(1 + y) + -2 -14 + 6x + 2y = (1 * 5 + y * 5) + -2 -14 + 6x + 2y = (5 + 5y) + -2 Reorder the terms: -14 + 6x + 2y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -14 + 6x + 2y = 3 + 5y Solving -14 + 6x + 2y = 3 + 5y 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 + 6x + 14 + 2y = 3 + 14 + 5y Reorder the terms: -14 + 14 + 6x + 2y = 3 + 14 + 5y Combine like terms: -14 + 14 = 0 0 + 6x + 2y = 3 + 14 + 5y 6x + 2y = 3 + 14 + 5y Combine like terms: 3 + 14 = 17 6x + 2y = 17 + 5y Add '-2y' to each side of the equation. 6x + 2y + -2y = 17 + 5y + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 17 + 5y + -2y 6x = 17 + 5y + -2y Combine like terms: 5y + -2y = 3y 6x = 17 + 3y Divide each side by '6'. x = 2.833333333 + 0.5y Simplifying x = 2.833333333 + 0.5y
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