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Simplifying 7(3x + -1(4 + -8y + 9x) + 3y) = 0 Reorder the terms: 7(3x + -1(4 + 9x + -8y) + 3y) = 0 7(3x + (4 * -1 + 9x * -1 + -8y * -1) + 3y) = 0 7(3x + (-4 + -9x + 8y) + 3y) = 0 Reorder the terms: 7(-4 + 3x + -9x + 8y + 3y) = 0 Combine like terms: 3x + -9x = -6x 7(-4 + -6x + 8y + 3y) = 0 Combine like terms: 8y + 3y = 11y 7(-4 + -6x + 11y) = 0 (-4 * 7 + -6x * 7 + 11y * 7) = 0 (-28 + -42x + 77y) = 0 Solving -28 + -42x + 77y = 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 + -42x + 28 + 77y = 0 + 28 Reorder the terms: -28 + 28 + -42x + 77y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -42x + 77y = 0 + 28 -42x + 77y = 0 + 28 Combine like terms: 0 + 28 = 28 -42x + 77y = 28 Add '-77y' to each side of the equation. -42x + 77y + -77y = 28 + -77y Combine like terms: 77y + -77y = 0 -42x + 0 = 28 + -77y -42x = 28 + -77y Divide each side by '-42'. x = -0.6666666667 + 1.833333333y Simplifying x = -0.6666666667 + 1.833333333y
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