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Simplifying 5(2x + 3y) + 2(4 + -1x + -2y) + 1 = 0 (2x * 5 + 3y * 5) + 2(4 + -1x + -2y) + 1 = 0 (10x + 15y) + 2(4 + -1x + -2y) + 1 = 0 10x + 15y + (4 * 2 + -1x * 2 + -2y * 2) + 1 = 0 10x + 15y + (8 + -2x + -4y) + 1 = 0 Reorder the terms: 8 + 1 + 10x + -2x + 15y + -4y = 0 Combine like terms: 8 + 1 = 9 9 + 10x + -2x + 15y + -4y = 0 Combine like terms: 10x + -2x = 8x 9 + 8x + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y 9 + 8x + 11y = 0 Solving 9 + 8x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 8x + -9 + 11y = 0 + -9 Reorder the terms: 9 + -9 + 8x + 11y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x + 11y = 0 + -9 8x + 11y = 0 + -9 Combine like terms: 0 + -9 = -9 8x + 11y = -9 Add '-11y' to each side of the equation. 8x + 11y + -11y = -9 + -11y Combine like terms: 11y + -11y = 0 8x + 0 = -9 + -11y 8x = -9 + -11y Divide each side by '8'. x = -1.125 + -1.375y Simplifying x = -1.125 + -1.375y
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