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Simplifying 4(3x + 5y + -7) + 8y = 0 Reorder the terms: 4(-7 + 3x + 5y) + 8y = 0 (-7 * 4 + 3x * 4 + 5y * 4) + 8y = 0 (-28 + 12x + 20y) + 8y = 0 Combine like terms: 20y + 8y = 28y -28 + 12x + 28y = 0 Solving -28 + 12x + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 12x + 28 + 28y = 0 + 28 Reorder the terms: -28 + 28 + 12x + 28y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 12x + 28y = 0 + 28 12x + 28y = 0 + 28 Combine like terms: 0 + 28 = 28 12x + 28y = 28 Add '-28y' to each side of the equation. 12x + 28y + -28y = 28 + -28y Combine like terms: 28y + -28y = 0 12x + 0 = 28 + -28y 12x = 28 + -28y Divide each side by '12'. x = 2.333333333 + -2.333333333y Simplifying x = 2.333333333 + -2.333333333y
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