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Simplifying 9x + 5 = 2(4x + -1) + 7 Reorder the terms: 5 + 9x = 2(4x + -1) + 7 Reorder the terms: 5 + 9x = 2(-1 + 4x) + 7 5 + 9x = (-1 * 2 + 4x * 2) + 7 5 + 9x = (-2 + 8x) + 7 Reorder the terms: 5 + 9x = -2 + 7 + 8x Combine like terms: -2 + 7 = 5 5 + 9x = 5 + 8x Add '-5' to each side of the equation. 5 + -5 + 9x = 5 + -5 + 8x Combine like terms: 5 + -5 = 0 0 + 9x = 5 + -5 + 8x 9x = 5 + -5 + 8x Combine like terms: 5 + -5 = 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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