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Simplifying 5x + 3(x + -7) + -2(y + -6) = 0 Reorder the terms: 5x + 3(-7 + x) + -2(y + -6) = 0 5x + (-7 * 3 + x * 3) + -2(y + -6) = 0 5x + (-21 + 3x) + -2(y + -6) = 0 Reorder the terms: 5x + -21 + 3x + -2(-6 + y) = 0 5x + -21 + 3x + (-6 * -2 + y * -2) = 0 5x + -21 + 3x + (12 + -2y) = 0 Reorder the terms: -21 + 12 + 5x + 3x + -2y = 0 Combine like terms: -21 + 12 = -9 -9 + 5x + 3x + -2y = 0 Combine like terms: 5x + 3x = 8x -9 + 8x + -2y = 0 Solving -9 + 8x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 8x + 9 + -2y = 0 + 9 Reorder the terms: -9 + 9 + 8x + -2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8x + -2y = 0 + 9 8x + -2y = 0 + 9 Combine like terms: 0 + 9 = 9 8x + -2y = 9 Add '2y' to each side of the equation. 8x + -2y + 2y = 9 + 2y Combine like terms: -2y + 2y = 0 8x + 0 = 9 + 2y 8x = 9 + 2y Divide each side by '8'. x = 1.125 + 0.25y Simplifying x = 1.125 + 0.25y
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