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Simplifying 6(4x + 7y) + 7(2 + -6) = 0 (4x * 6 + 7y * 6) + 7(2 + -6) = 0 (24x + 42y) + 7(2 + -6) = 0 Combine like terms: 2 + -6 = -4 24x + 42y + 7(-4) = 0 Multiply 7 * -4 24x + 42y + -28 = 0 Reorder the terms: -28 + 24x + 42y = 0 Solving -28 + 24x + 42y = 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 + 24x + 28 + 42y = 0 + 28 Reorder the terms: -28 + 28 + 24x + 42y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 24x + 42y = 0 + 28 24x + 42y = 0 + 28 Combine like terms: 0 + 28 = 28 24x + 42y = 28 Add '-42y' to each side of the equation. 24x + 42y + -42y = 28 + -42y Combine like terms: 42y + -42y = 0 24x + 0 = 28 + -42y 24x = 28 + -42y Divide each side by '24'. x = 1.166666667 + -1.75y Simplifying x = 1.166666667 + -1.75y
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