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Simplifying 3(y + 10) + 2(7 + -3x) + -5 = 0 Reorder the terms: 3(10 + y) + 2(7 + -3x) + -5 = 0 (10 * 3 + y * 3) + 2(7 + -3x) + -5 = 0 (30 + 3y) + 2(7 + -3x) + -5 = 0 30 + 3y + (7 * 2 + -3x * 2) + -5 = 0 30 + 3y + (14 + -6x) + -5 = 0 Reorder the terms: 30 + 14 + -5 + -6x + 3y = 0 Combine like terms: 30 + 14 = 44 44 + -5 + -6x + 3y = 0 Combine like terms: 44 + -5 = 39 39 + -6x + 3y = 0 Solving 39 + -6x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -6x + -39 + 3y = 0 + -39 Reorder the terms: 39 + -39 + -6x + 3y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -6x + 3y = 0 + -39 -6x + 3y = 0 + -39 Combine like terms: 0 + -39 = -39 -6x + 3y = -39 Add '-3y' to each side of the equation. -6x + 3y + -3y = -39 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = -39 + -3y -6x = -39 + -3y Divide each side by '-6'. x = 6.5 + 0.5y Simplifying x = 6.5 + 0.5y
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