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