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Simplifying 9(6x + 2) = 3(22x + -12) Reorder the terms: 9(2 + 6x) = 3(22x + -12) (2 * 9 + 6x * 9) = 3(22x + -12) (18 + 54x) = 3(22x + -12) Reorder the terms: 18 + 54x = 3(-12 + 22x) 18 + 54x = (-12 * 3 + 22x * 3) 18 + 54x = (-36 + 66x) Solving 18 + 54x = -36 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 18 + 54x + -66x = -36 + 66x + -66x Combine like terms: 54x + -66x = -12x 18 + -12x = -36 + 66x + -66x Combine like terms: 66x + -66x = 0 18 + -12x = -36 + 0 18 + -12x = -36 Add '-18' to each side of the equation. 18 + -18 + -12x = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -12x = -36 + -18 -12x = -36 + -18 Combine like terms: -36 + -18 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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