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Simplifying 13x + 14y + -3x + 3y + 7 = 45 Reorder the terms: 7 + 13x + -3x + 14y + 3y = 45 Combine like terms: 13x + -3x = 10x 7 + 10x + 14y + 3y = 45 Combine like terms: 14y + 3y = 17y 7 + 10x + 17y = 45 Solving 7 + 10x + 17y = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 10x + -7 + 17y = 45 + -7 Reorder the terms: 7 + -7 + 10x + 17y = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 10x + 17y = 45 + -7 10x + 17y = 45 + -7 Combine like terms: 45 + -7 = 38 10x + 17y = 38 Add '-17y' to each side of the equation. 10x + 17y + -17y = 38 + -17y Combine like terms: 17y + -17y = 0 10x + 0 = 38 + -17y 10x = 38 + -17y Divide each side by '10'. x = 3.8 + -1.7y Simplifying x = 3.8 + -1.7y
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