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Simplifying 9x + -6 = 8(x + 1) + -7 Reorder the terms: -6 + 9x = 8(x + 1) + -7 Reorder the terms: -6 + 9x = 8(1 + x) + -7 -6 + 9x = (1 * 8 + x * 8) + -7 -6 + 9x = (8 + 8x) + -7 Reorder the terms: -6 + 9x = 8 + -7 + 8x Combine like terms: 8 + -7 = 1 -6 + 9x = 1 + 8x Solving -6 + 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. -6 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x -6 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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