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