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