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Simplifying 9x + 1 = 2(4x + -2) + 5 Reorder the terms: 1 + 9x = 2(4x + -2) + 5 Reorder the terms: 1 + 9x = 2(-2 + 4x) + 5 1 + 9x = (-2 * 2 + 4x * 2) + 5 1 + 9x = (-4 + 8x) + 5 Reorder the terms: 1 + 9x = -4 + 5 + 8x Combine like terms: -4 + 5 = 1 1 + 9x = 1 + 8x Add '-1' to each side of the equation. 1 + -1 + 9x = 1 + -1 + 8x Combine like terms: 1 + -1 = 0 0 + 9x = 1 + -1 + 8x 9x = 1 + -1 + 8x Combine like terms: 1 + -1 = 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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