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Simplifying 7(2x + -1) + 5y + -6 = 3y + -2(3y) + 3 Reorder the terms: 7(-1 + 2x) + 5y + -6 = 3y + -2(3y) + 3 (-1 * 7 + 2x * 7) + 5y + -6 = 3y + -2(3y) + 3 (-7 + 14x) + 5y + -6 = 3y + -2(3y) + 3 Reorder the terms: -7 + -6 + 14x + 5y = 3y + -2(3y) + 3 Combine like terms: -7 + -6 = -13 -13 + 14x + 5y = 3y + -2(3y) + 3 Remove parenthesis around (3y) -13 + 14x + 5y = 3y + -2 * 3y + 3 Multiply -2 * 3 -13 + 14x + 5y = 3y + -6y + 3 Reorder the terms: -13 + 14x + 5y = 3 + 3y + -6y Combine like terms: 3y + -6y = -3y -13 + 14x + 5y = 3 + -3y Solving -13 + 14x + 5y = 3 + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 14x + 13 + 5y = 3 + 13 + -3y Reorder the terms: -13 + 13 + 14x + 5y = 3 + 13 + -3y Combine like terms: -13 + 13 = 0 0 + 14x + 5y = 3 + 13 + -3y 14x + 5y = 3 + 13 + -3y Combine like terms: 3 + 13 = 16 14x + 5y = 16 + -3y Add '-5y' to each side of the equation. 14x + 5y + -5y = 16 + -3y + -5y Combine like terms: 5y + -5y = 0 14x + 0 = 16 + -3y + -5y 14x = 16 + -3y + -5y Combine like terms: -3y + -5y = -8y 14x = 16 + -8y Divide each side by '14'. x = 1.142857143 + -0.5714285714y Simplifying x = 1.142857143 + -0.5714285714y
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