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Simplifying 6(-8x + 7 + 4y) = 0 Reorder the terms: 6(7 + -8x + 4y) = 0 (7 * 6 + -8x * 6 + 4y * 6) = 0 (42 + -48x + 24y) = 0 Solving 42 + -48x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -48x + -42 + 24y = 0 + -42 Reorder the terms: 42 + -42 + -48x + 24y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -48x + 24y = 0 + -42 -48x + 24y = 0 + -42 Combine like terms: 0 + -42 = -42 -48x + 24y = -42 Add '-24y' to each side of the equation. -48x + 24y + -24y = -42 + -24y Combine like terms: 24y + -24y = 0 -48x + 0 = -42 + -24y -48x = -42 + -24y Divide each side by '-48'. x = 0.875 + 0.5y Simplifying x = 0.875 + 0.5y
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