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