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Simplifying 4(3x + 2) + -2x = 8x + 22 Reorder the terms: 4(2 + 3x) + -2x = 8x + 22 (2 * 4 + 3x * 4) + -2x = 8x + 22 (8 + 12x) + -2x = 8x + 22 Combine like terms: 12x + -2x = 10x 8 + 10x = 8x + 22 Reorder the terms: 8 + 10x = 22 + 8x Solving 8 + 10x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 10x + -8x = 22 + 8x + -8x Combine like terms: 10x + -8x = 2x 8 + 2x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 2x = 22 + 0 8 + 2x = 22 Add '-8' to each side of the equation. 8 + -8 + 2x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 22 + -8 2x = 22 + -8 Combine like terms: 22 + -8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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