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Simplifying 15(x + -1y) + -3(x + -9) + 5(x + 6) = 0 (x * 15 + -1y * 15) + -3(x + -9) + 5(x + 6) = 0 (15x + -15y) + -3(x + -9) + 5(x + 6) = 0 Reorder the terms: 15x + -15y + -3(-9 + x) + 5(x + 6) = 0 15x + -15y + (-9 * -3 + x * -3) + 5(x + 6) = 0 15x + -15y + (27 + -3x) + 5(x + 6) = 0 Reorder the terms: 15x + -15y + 27 + -3x + 5(6 + x) = 0 15x + -15y + 27 + -3x + (6 * 5 + x * 5) = 0 15x + -15y + 27 + -3x + (30 + 5x) = 0 Reorder the terms: 27 + 30 + 15x + -3x + 5x + -15y = 0 Combine like terms: 27 + 30 = 57 57 + 15x + -3x + 5x + -15y = 0 Combine like terms: 15x + -3x = 12x 57 + 12x + 5x + -15y = 0 Combine like terms: 12x + 5x = 17x 57 + 17x + -15y = 0 Solving 57 + 17x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + 17x + -57 + -15y = 0 + -57 Reorder the terms: 57 + -57 + 17x + -15y = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 17x + -15y = 0 + -57 17x + -15y = 0 + -57 Combine like terms: 0 + -57 = -57 17x + -15y = -57 Add '15y' to each side of the equation. 17x + -15y + 15y = -57 + 15y Combine like terms: -15y + 15y = 0 17x + 0 = -57 + 15y 17x = -57 + 15y Divide each side by '17'. x = -3.352941176 + 0.8823529412y Simplifying x = -3.352941176 + 0.8823529412y
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