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Simplifying 7x + 3(x + -7) + -4(y + -7) = 0 Reorder the terms: 7x + 3(-7 + x) + -4(y + -7) = 0 7x + (-7 * 3 + x * 3) + -4(y + -7) = 0 7x + (-21 + 3x) + -4(y + -7) = 0 Reorder the terms: 7x + -21 + 3x + -4(-7 + y) = 0 7x + -21 + 3x + (-7 * -4 + y * -4) = 0 7x + -21 + 3x + (28 + -4y) = 0 Reorder the terms: -21 + 28 + 7x + 3x + -4y = 0 Combine like terms: -21 + 28 = 7 7 + 7x + 3x + -4y = 0 Combine like terms: 7x + 3x = 10x 7 + 10x + -4y = 0 Solving 7 + 10x + -4y = 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 + 10x + -7 + -4y = 0 + -7 Reorder the terms: 7 + -7 + 10x + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10x + -4y = 0 + -7 10x + -4y = 0 + -7 Combine like terms: 0 + -7 = -7 10x + -4y = -7 Add '4y' to each side of the equation. 10x + -4y + 4y = -7 + 4y Combine like terms: -4y + 4y = 0 10x + 0 = -7 + 4y 10x = -7 + 4y Divide each side by '10'. x = -0.7 + 0.4y Simplifying x = -0.7 + 0.4y
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