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Simplifying 4(2x + -9) + 24x + 24 = 6(9x + -5) + -26 Reorder the terms: 4(-9 + 2x) + 24x + 24 = 6(9x + -5) + -26 (-9 * 4 + 2x * 4) + 24x + 24 = 6(9x + -5) + -26 (-36 + 8x) + 24x + 24 = 6(9x + -5) + -26 Reorder the terms: -36 + 24 + 8x + 24x = 6(9x + -5) + -26 Combine like terms: -36 + 24 = -12 -12 + 8x + 24x = 6(9x + -5) + -26 Combine like terms: 8x + 24x = 32x -12 + 32x = 6(9x + -5) + -26 Reorder the terms: -12 + 32x = 6(-5 + 9x) + -26 -12 + 32x = (-5 * 6 + 9x * 6) + -26 -12 + 32x = (-30 + 54x) + -26 Reorder the terms: -12 + 32x = -30 + -26 + 54x Combine like terms: -30 + -26 = -56 -12 + 32x = -56 + 54x Solving -12 + 32x = -56 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -12 + 32x + -54x = -56 + 54x + -54x Combine like terms: 32x + -54x = -22x -12 + -22x = -56 + 54x + -54x Combine like terms: 54x + -54x = 0 -12 + -22x = -56 + 0 -12 + -22x = -56 Add '12' to each side of the equation. -12 + 12 + -22x = -56 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = -56 + 12 -22x = -56 + 12 Combine like terms: -56 + 12 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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