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Simplifying 3x + 2(x + -3) + -7(y + -4) = 0 Reorder the terms: 3x + 2(-3 + x) + -7(y + -4) = 0 3x + (-3 * 2 + x * 2) + -7(y + -4) = 0 3x + (-6 + 2x) + -7(y + -4) = 0 Reorder the terms: 3x + -6 + 2x + -7(-4 + y) = 0 3x + -6 + 2x + (-4 * -7 + y * -7) = 0 3x + -6 + 2x + (28 + -7y) = 0 Reorder the terms: -6 + 28 + 3x + 2x + -7y = 0 Combine like terms: -6 + 28 = 22 22 + 3x + 2x + -7y = 0 Combine like terms: 3x + 2x = 5x 22 + 5x + -7y = 0 Solving 22 + 5x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 5x + -22 + -7y = 0 + -22 Reorder the terms: 22 + -22 + 5x + -7y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5x + -7y = 0 + -22 5x + -7y = 0 + -22 Combine like terms: 0 + -22 = -22 5x + -7y = -22 Add '7y' to each side of the equation. 5x + -7y + 7y = -22 + 7y Combine like terms: -7y + 7y = 0 5x + 0 = -22 + 7y 5x = -22 + 7y Divide each side by '5'. x = -4.4 + 1.4y Simplifying x = -4.4 + 1.4y
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