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Simplifying 4(4x + -1y + 5) + -3(6x + -2y) = 0 Reorder the terms: 4(5 + 4x + -1y) + -3(6x + -2y) = 0 (5 * 4 + 4x * 4 + -1y * 4) + -3(6x + -2y) = 0 (20 + 16x + -4y) + -3(6x + -2y) = 0 20 + 16x + -4y + (6x * -3 + -2y * -3) = 0 20 + 16x + -4y + (-18x + 6y) = 0 Reorder the terms: 20 + 16x + -18x + -4y + 6y = 0 Combine like terms: 16x + -18x = -2x 20 + -2x + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y 20 + -2x + 2y = 0 Solving 20 + -2x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -2x + -20 + 2y = 0 + -20 Reorder the terms: 20 + -20 + -2x + 2y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2x + 2y = 0 + -20 -2x + 2y = 0 + -20 Combine like terms: 0 + -20 = -20 -2x + 2y = -20 Add '-2y' to each side of the equation. -2x + 2y + -2y = -20 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -20 + -2y -2x = -20 + -2y Divide each side by '-2'. x = 10 + y Simplifying x = 10 + y
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