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Simplifying 18x2 + 12x + 22 = 18x2 + 24x + 30 Reorder the terms: 22 + 12x + 18x2 = 18x2 + 24x + 30 Reorder the terms: 22 + 12x + 18x2 = 30 + 24x + 18x2 Add '-18x2' to each side of the equation. 22 + 12x + 18x2 + -18x2 = 30 + 24x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 22 + 12x + 0 = 30 + 24x + 18x2 + -18x2 22 + 12x = 30 + 24x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 22 + 12x = 30 + 24x + 0 22 + 12x = 30 + 24x Solving 22 + 12x = 30 + 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. 22 + 12x + -24x = 30 + 24x + -24x Combine like terms: 12x + -24x = -12x 22 + -12x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 22 + -12x = 30 + 0 22 + -12x = 30 Add '-22' to each side of the equation. 22 + -22 + -12x = 30 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = 30 + -22 -12x = 30 + -22 Combine like terms: 30 + -22 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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