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