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Simplifying 9x + -2 = 8(x + -4) + 1 Reorder the terms: -2 + 9x = 8(x + -4) + 1 Reorder the terms: -2 + 9x = 8(-4 + x) + 1 -2 + 9x = (-4 * 8 + x * 8) + 1 -2 + 9x = (-32 + 8x) + 1 Reorder the terms: -2 + 9x = -32 + 1 + 8x Combine like terms: -32 + 1 = -31 -2 + 9x = -31 + 8x Solving -2 + 9x = -31 + 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. -2 + 9x + -8x = -31 + 8x + -8x Combine like terms: 9x + -8x = 1x -2 + 1x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 1x = -31 + 0 -2 + 1x = -31 Add '2' to each side of the equation. -2 + 2 + 1x = -31 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -31 + 2 1x = -31 + 2 Combine like terms: -31 + 2 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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