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Simplifying (10x + 5y + 15) + -1(5x + -62y + -6) = 0 Reorder the terms: (15 + 10x + 5y) + -1(5x + -62y + -6) = 0 Remove parenthesis around (15 + 10x + 5y) 15 + 10x + 5y + -1(5x + -62y + -6) = 0 Reorder the terms: 15 + 10x + 5y + -1(-6 + 5x + -62y) = 0 15 + 10x + 5y + (-6 * -1 + 5x * -1 + -62y * -1) = 0 15 + 10x + 5y + (6 + -5x + 62y) = 0 Reorder the terms: 15 + 6 + 10x + -5x + 5y + 62y = 0 Combine like terms: 15 + 6 = 21 21 + 10x + -5x + 5y + 62y = 0 Combine like terms: 10x + -5x = 5x 21 + 5x + 5y + 62y = 0 Combine like terms: 5y + 62y = 67y 21 + 5x + 67y = 0 Solving 21 + 5x + 67y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 5x + -21 + 67y = 0 + -21 Reorder the terms: 21 + -21 + 5x + 67y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5x + 67y = 0 + -21 5x + 67y = 0 + -21 Combine like terms: 0 + -21 = -21 5x + 67y = -21 Add '-67y' to each side of the equation. 5x + 67y + -67y = -21 + -67y Combine like terms: 67y + -67y = 0 5x + 0 = -21 + -67y 5x = -21 + -67y Divide each side by '5'. x = -4.2 + -13.4y Simplifying x = -4.2 + -13.4y
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