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Simplifying 9x + -9 = 8(x + -2) + 1 Reorder the terms: -9 + 9x = 8(x + -2) + 1 Reorder the terms: -9 + 9x = 8(-2 + x) + 1 -9 + 9x = (-2 * 8 + x * 8) + 1 -9 + 9x = (-16 + 8x) + 1 Reorder the terms: -9 + 9x = -16 + 1 + 8x Combine like terms: -16 + 1 = -15 -9 + 9x = -15 + 8x Solving -9 + 9x = -15 + 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. -9 + 9x + -8x = -15 + 8x + -8x Combine like terms: 9x + -8x = 1x -9 + 1x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 1x = -15 + 0 -9 + 1x = -15 Add '9' to each side of the equation. -9 + 9 + 1x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -15 + 9 1x = -15 + 9 Combine like terms: -15 + 9 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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