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Simplifying 9x + -7 = 2(4x + 4) + -1 Reorder the terms: -7 + 9x = 2(4x + 4) + -1 Reorder the terms: -7 + 9x = 2(4 + 4x) + -1 -7 + 9x = (4 * 2 + 4x * 2) + -1 -7 + 9x = (8 + 8x) + -1 Reorder the terms: -7 + 9x = 8 + -1 + 8x Combine like terms: 8 + -1 = 7 -7 + 9x = 7 + 8x Solving -7 + 9x = 7 + 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. -7 + 9x + -8x = 7 + 8x + -8x Combine like terms: 9x + -8x = 1x -7 + 1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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