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Simplifying 2y + 3x = 4(6x + -5) + -9 Reorder the terms: 3x + 2y = 4(6x + -5) + -9 Reorder the terms: 3x + 2y = 4(-5 + 6x) + -9 3x + 2y = (-5 * 4 + 6x * 4) + -9 3x + 2y = (-20 + 24x) + -9 Reorder the terms: 3x + 2y = -20 + -9 + 24x Combine like terms: -20 + -9 = -29 3x + 2y = -29 + 24x Solving 3x + 2y = -29 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 3x + -24x + 2y = -29 + 24x + -24x Combine like terms: 3x + -24x = -21x -21x + 2y = -29 + 24x + -24x Combine like terms: 24x + -24x = 0 -21x + 2y = -29 + 0 -21x + 2y = -29 Add '-2y' to each side of the equation. -21x + 2y + -2y = -29 + -2y Combine like terms: 2y + -2y = 0 -21x + 0 = -29 + -2y -21x = -29 + -2y Divide each side by '-21'. x = 1.380952381 + 0.09523809524y Simplifying x = 1.380952381 + 0.09523809524y
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