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Simplifying 2x + 3y + -1(4 + 2) = 45 Combine like terms: 4 + 2 = 6 2x + 3y + -1(6) = 45 Multiply -1 * 6 2x + 3y + -6 = 45 Reorder the terms: -6 + 2x + 3y = 45 Solving -6 + 2x + 3y = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + 3y = 45 + 6 Reorder the terms: -6 + 6 + 2x + 3y = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 3y = 45 + 6 2x + 3y = 45 + 6 Combine like terms: 45 + 6 = 51 2x + 3y = 51 Add '-3y' to each side of the equation. 2x + 3y + -3y = 51 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 51 + -3y 2x = 51 + -3y Divide each side by '2'. x = 25.5 + -1.5y Simplifying x = 25.5 + -1.5y
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