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Simplifying 4(2x + 3y) + 3(5x + 4) = 0 (2x * 4 + 3y * 4) + 3(5x + 4) = 0 (8x + 12y) + 3(5x + 4) = 0 Reorder the terms: 8x + 12y + 3(4 + 5x) = 0 8x + 12y + (4 * 3 + 5x * 3) = 0 8x + 12y + (12 + 15x) = 0 Reorder the terms: 12 + 8x + 15x + 12y = 0 Combine like terms: 8x + 15x = 23x 12 + 23x + 12y = 0 Solving 12 + 23x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 23x + -12 + 12y = 0 + -12 Reorder the terms: 12 + -12 + 23x + 12y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 23x + 12y = 0 + -12 23x + 12y = 0 + -12 Combine like terms: 0 + -12 = -12 23x + 12y = -12 Add '-12y' to each side of the equation. 23x + 12y + -12y = -12 + -12y Combine like terms: 12y + -12y = 0 23x + 0 = -12 + -12y 23x = -12 + -12y Divide each side by '23'. x = -0.5217391304 + -0.5217391304y Simplifying x = -0.5217391304 + -0.5217391304y
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