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Simplifying 3(4x + -2y + 5) + 2(5x + 3y + -4) = 0 Reorder the terms: 3(5 + 4x + -2y) + 2(5x + 3y + -4) = 0 (5 * 3 + 4x * 3 + -2y * 3) + 2(5x + 3y + -4) = 0 (15 + 12x + -6y) + 2(5x + 3y + -4) = 0 Reorder the terms: 15 + 12x + -6y + 2(-4 + 5x + 3y) = 0 15 + 12x + -6y + (-4 * 2 + 5x * 2 + 3y * 2) = 0 15 + 12x + -6y + (-8 + 10x + 6y) = 0 Reorder the terms: 15 + -8 + 12x + 10x + -6y + 6y = 0 Combine like terms: 15 + -8 = 7 7 + 12x + 10x + -6y + 6y = 0 Combine like terms: 12x + 10x = 22x 7 + 22x + -6y + 6y = 0 Combine like terms: -6y + 6y = 0 7 + 22x + 0 = 0 7 + 22x = 0 Solving 7 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 22x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 22x = 0 + -7 22x = 0 + -7 Combine like terms: 0 + -7 = -7 22x = -7 Divide each side by '22'. x = -0.3181818182 Simplifying x = -0.3181818182
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