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Simplifying 22(x + 3) = 4(2x + 9) + 4x Reorder the terms: 22(3 + x) = 4(2x + 9) + 4x (3 * 22 + x * 22) = 4(2x + 9) + 4x (66 + 22x) = 4(2x + 9) + 4x Reorder the terms: 66 + 22x = 4(9 + 2x) + 4x 66 + 22x = (9 * 4 + 2x * 4) + 4x 66 + 22x = (36 + 8x) + 4x Combine like terms: 8x + 4x = 12x 66 + 22x = 36 + 12x Solving 66 + 22x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 66 + 22x + -12x = 36 + 12x + -12x Combine like terms: 22x + -12x = 10x 66 + 10x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 66 + 10x = 36 + 0 66 + 10x = 36 Add '-66' to each side of the equation. 66 + -66 + 10x = 36 + -66 Combine like terms: 66 + -66 = 0 0 + 10x = 36 + -66 10x = 36 + -66 Combine like terms: 36 + -66 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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