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Simplifying 7(4x + -3y + 9) + -3(2x + 5y + -4) = 0 Reorder the terms: 7(9 + 4x + -3y) + -3(2x + 5y + -4) = 0 (9 * 7 + 4x * 7 + -3y * 7) + -3(2x + 5y + -4) = 0 (63 + 28x + -21y) + -3(2x + 5y + -4) = 0 Reorder the terms: 63 + 28x + -21y + -3(-4 + 2x + 5y) = 0 63 + 28x + -21y + (-4 * -3 + 2x * -3 + 5y * -3) = 0 63 + 28x + -21y + (12 + -6x + -15y) = 0 Reorder the terms: 63 + 12 + 28x + -6x + -21y + -15y = 0 Combine like terms: 63 + 12 = 75 75 + 28x + -6x + -21y + -15y = 0 Combine like terms: 28x + -6x = 22x 75 + 22x + -21y + -15y = 0 Combine like terms: -21y + -15y = -36y 75 + 22x + -36y = 0 Solving 75 + 22x + -36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + 22x + -75 + -36y = 0 + -75 Reorder the terms: 75 + -75 + 22x + -36y = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 22x + -36y = 0 + -75 22x + -36y = 0 + -75 Combine like terms: 0 + -75 = -75 22x + -36y = -75 Add '36y' to each side of the equation. 22x + -36y + 36y = -75 + 36y Combine like terms: -36y + 36y = 0 22x + 0 = -75 + 36y 22x = -75 + 36y Divide each side by '22'. x = -3.409090909 + 1.636363636y Simplifying x = -3.409090909 + 1.636363636y
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