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Simplifying 3(2x + -3) + -9x + -4 = 2y + 12 Reorder the terms: 3(-3 + 2x) + -9x + -4 = 2y + 12 (-3 * 3 + 2x * 3) + -9x + -4 = 2y + 12 (-9 + 6x) + -9x + -4 = 2y + 12 Reorder the terms: -9 + -4 + 6x + -9x = 2y + 12 Combine like terms: -9 + -4 = -13 -13 + 6x + -9x = 2y + 12 Combine like terms: 6x + -9x = -3x -13 + -3x = 2y + 12 Reorder the terms: -13 + -3x = 12 + 2y Solving -13 + -3x = 12 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3x = 12 + 13 + 2y Combine like terms: -13 + 13 = 0 0 + -3x = 12 + 13 + 2y -3x = 12 + 13 + 2y Combine like terms: 12 + 13 = 25 -3x = 25 + 2y Divide each side by '-3'. x = -8.333333333 + -0.6666666667y Simplifying x = -8.333333333 + -0.6666666667y
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