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Simplifying 4(2x + -1) + 5 = 9x + 1 Reorder the terms: 4(-1 + 2x) + 5 = 9x + 1 (-1 * 4 + 2x * 4) + 5 = 9x + 1 (-4 + 8x) + 5 = 9x + 1 Reorder the terms: -4 + 5 + 8x = 9x + 1 Combine like terms: -4 + 5 = 1 1 + 8x = 9x + 1 Reorder the terms: 1 + 8x = 1 + 9x Add '-1' to each side of the equation. 1 + -1 + 8x = 1 + -1 + 9x Combine like terms: 1 + -1 = 0 0 + 8x = 1 + -1 + 9x 8x = 1 + -1 + 9x Combine like terms: 1 + -1 = 0 8x = 0 + 9x 8x = 9x Solving 8x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8x + -9x = 9x + -9x Combine like terms: 8x + -9x = -1x -1x = 9x + -9x Combine like terms: 9x + -9x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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