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Simplifying 9x + 2 = 4(2x + 1) + 6 Reorder the terms: 2 + 9x = 4(2x + 1) + 6 Reorder the terms: 2 + 9x = 4(1 + 2x) + 6 2 + 9x = (1 * 4 + 2x * 4) + 6 2 + 9x = (4 + 8x) + 6 Reorder the terms: 2 + 9x = 4 + 6 + 8x Combine like terms: 4 + 6 = 10 2 + 9x = 10 + 8x Solving 2 + 9x = 10 + 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. 2 + 9x + -8x = 10 + 8x + -8x Combine like terms: 9x + -8x = 1x 2 + 1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 1x = 10 + 0 2 + 1x = 10 Add '-2' to each side of the equation. 2 + -2 + 1x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 10 + -2 1x = 10 + -2 Combine like terms: 10 + -2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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