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Simplifying (12x + 6y) + 9x + -8(45 + 15) = 453 Remove parenthesis around (12x + 6y) 12x + 6y + 9x + -8(45 + 15) = 453 Combine like terms: 45 + 15 = 60 12x + 6y + 9x + -8(60) = 453 Multiply -8 * 60 12x + 6y + 9x + -480 = 453 Reorder the terms: -480 + 12x + 9x + 6y = 453 Combine like terms: 12x + 9x = 21x -480 + 21x + 6y = 453 Solving -480 + 21x + 6y = 453 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '480' to each side of the equation. -480 + 21x + 480 + 6y = 453 + 480 Reorder the terms: -480 + 480 + 21x + 6y = 453 + 480 Combine like terms: -480 + 480 = 0 0 + 21x + 6y = 453 + 480 21x + 6y = 453 + 480 Combine like terms: 453 + 480 = 933 21x + 6y = 933 Add '-6y' to each side of the equation. 21x + 6y + -6y = 933 + -6y Combine like terms: 6y + -6y = 0 21x + 0 = 933 + -6y 21x = 933 + -6y Divide each side by '21'. x = 44.42857143 + -0.2857142857y Simplifying x = 44.42857143 + -0.2857142857y
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