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Simplifying 12(5 + 2x) = 4y + -1(6 + -9x) (5 * 12 + 2x * 12) = 4y + -1(6 + -9x) (60 + 24x) = 4y + -1(6 + -9x) 60 + 24x = 4y + (6 * -1 + -9x * -1) 60 + 24x = 4y + (-6 + 9x) Reorder the terms: 60 + 24x = -6 + 9x + 4y Solving 60 + 24x = -6 + 9x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 60 + 24x + -9x = -6 + 9x + -9x + 4y Combine like terms: 24x + -9x = 15x 60 + 15x = -6 + 9x + -9x + 4y Combine like terms: 9x + -9x = 0 60 + 15x = -6 + 0 + 4y 60 + 15x = -6 + 4y Add '-60' to each side of the equation. 60 + -60 + 15x = -6 + -60 + 4y Combine like terms: 60 + -60 = 0 0 + 15x = -6 + -60 + 4y 15x = -6 + -60 + 4y Combine like terms: -6 + -60 = -66 15x = -66 + 4y Divide each side by '15'. x = -4.4 + 0.2666666667y Simplifying x = -4.4 + 0.2666666667y
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