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Simplifying 3(2x + 2y) + -1(x + -7) = 0 (2x * 3 + 2y * 3) + -1(x + -7) = 0 (6x + 6y) + -1(x + -7) = 0 Reorder the terms: 6x + 6y + -1(-7 + x) = 0 6x + 6y + (-7 * -1 + x * -1) = 0 6x + 6y + (7 + -1x) = 0 Reorder the terms: 7 + 6x + -1x + 6y = 0 Combine like terms: 6x + -1x = 5x 7 + 5x + 6y = 0 Solving 7 + 5x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5x + -7 + 6y = 0 + -7 Reorder the terms: 7 + -7 + 5x + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + 6y = 0 + -7 5x + 6y = 0 + -7 Combine like terms: 0 + -7 = -7 5x + 6y = -7 Add '-6y' to each side of the equation. 5x + 6y + -6y = -7 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = -7 + -6y 5x = -7 + -6y Divide each side by '5'. x = -1.4 + -1.2y Simplifying x = -1.4 + -1.2y
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