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Simplifying 4(3(x + -6) + -5(2 + -1y) + 6 + -7y) = 0 Reorder the terms: 4(3(-6 + x) + -5(2 + -1y) + 6 + -7y) = 0 4((-6 * 3 + x * 3) + -5(2 + -1y) + 6 + -7y) = 0 4((-18 + 3x) + -5(2 + -1y) + 6 + -7y) = 0 4(-18 + 3x + (2 * -5 + -1y * -5) + 6 + -7y) = 0 4(-18 + 3x + (-10 + 5y) + 6 + -7y) = 0 Reorder the terms: 4(-18 + -10 + 6 + 3x + 5y + -7y) = 0 Combine like terms: -18 + -10 = -28 4(-28 + 6 + 3x + 5y + -7y) = 0 Combine like terms: -28 + 6 = -22 4(-22 + 3x + 5y + -7y) = 0 Combine like terms: 5y + -7y = -2y 4(-22 + 3x + -2y) = 0 (-22 * 4 + 3x * 4 + -2y * 4) = 0 (-88 + 12x + -8y) = 0 Solving -88 + 12x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 12x + 88 + -8y = 0 + 88 Reorder the terms: -88 + 88 + 12x + -8y = 0 + 88 Combine like terms: -88 + 88 = 0 0 + 12x + -8y = 0 + 88 12x + -8y = 0 + 88 Combine like terms: 0 + 88 = 88 12x + -8y = 88 Add '8y' to each side of the equation. 12x + -8y + 8y = 88 + 8y Combine like terms: -8y + 8y = 0 12x + 0 = 88 + 8y 12x = 88 + 8y Divide each side by '12'. x = 7.333333333 + 0.6666666667y Simplifying x = 7.333333333 + 0.6666666667y
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