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Simplifying 3x + 7(x + -3) + -8(y + -3) = 0 Reorder the terms: 3x + 7(-3 + x) + -8(y + -3) = 0 3x + (-3 * 7 + x * 7) + -8(y + -3) = 0 3x + (-21 + 7x) + -8(y + -3) = 0 Reorder the terms: 3x + -21 + 7x + -8(-3 + y) = 0 3x + -21 + 7x + (-3 * -8 + y * -8) = 0 3x + -21 + 7x + (24 + -8y) = 0 Reorder the terms: -21 + 24 + 3x + 7x + -8y = 0 Combine like terms: -21 + 24 = 3 3 + 3x + 7x + -8y = 0 Combine like terms: 3x + 7x = 10x 3 + 10x + -8y = 0 Solving 3 + 10x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10x + -3 + -8y = 0 + -3 Reorder the terms: 3 + -3 + 10x + -8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10x + -8y = 0 + -3 10x + -8y = 0 + -3 Combine like terms: 0 + -3 = -3 10x + -8y = -3 Add '8y' to each side of the equation. 10x + -8y + 8y = -3 + 8y Combine like terms: -8y + 8y = 0 10x + 0 = -3 + 8y 10x = -3 + 8y Divide each side by '10'. x = -0.3 + 0.8y Simplifying x = -0.3 + 0.8y
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