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Simplifying 45 + 3y = 3(5x + y) 45 + 3y = (5x * 3 + y * 3) 45 + 3y = (15x + 3y) Add '-3y' to each side of the equation. 45 + 3y + -3y = 15x + 3y + -3y Combine like terms: 3y + -3y = 0 45 + 0 = 15x + 3y + -3y 45 = 15x + 3y + -3y Combine like terms: 3y + -3y = 0 45 = 15x + 0 45 = 15x Solving 45 = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 45 + -15x = 0 Add '-45' to each side of the equation. 45 + -45 + -15x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -15x = 0 + -45 -15x = 0 + -45 Combine like terms: 0 + -45 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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