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Simplifying 5(3x + -2) + -1(7y + 2) = 0 Reorder the terms: 5(-2 + 3x) + -1(7y + 2) = 0 (-2 * 5 + 3x * 5) + -1(7y + 2) = 0 (-10 + 15x) + -1(7y + 2) = 0 Reorder the terms: -10 + 15x + -1(2 + 7y) = 0 -10 + 15x + (2 * -1 + 7y * -1) = 0 -10 + 15x + (-2 + -7y) = 0 Reorder the terms: -10 + -2 + 15x + -7y = 0 Combine like terms: -10 + -2 = -12 -12 + 15x + -7y = 0 Solving -12 + 15x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 15x + 12 + -7y = 0 + 12 Reorder the terms: -12 + 12 + 15x + -7y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 15x + -7y = 0 + 12 15x + -7y = 0 + 12 Combine like terms: 0 + 12 = 12 15x + -7y = 12 Add '7y' to each side of the equation. 15x + -7y + 7y = 12 + 7y Combine like terms: -7y + 7y = 0 15x + 0 = 12 + 7y 15x = 12 + 7y Divide each side by '15'. x = 0.8 + 0.4666666667y Simplifying x = 0.8 + 0.4666666667y
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