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Simplifying -8(2 + -1x) + -5 = 33 + -1x (2 * -8 + -1x * -8) + -5 = 33 + -1x (-16 + 8x) + -5 = 33 + -1x Reorder the terms: -16 + -5 + 8x = 33 + -1x Combine like terms: -16 + -5 = -21 -21 + 8x = 33 + -1x Solving -21 + 8x = 33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 8x + x = 33 + -1x + x Combine like terms: 8x + x = 9x -21 + 9x = 33 + -1x + x Combine like terms: -1x + x = 0 -21 + 9x = 33 + 0 -21 + 9x = 33 Add '21' to each side of the equation. -21 + 21 + 9x = 33 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 33 + 21 9x = 33 + 21 Combine like terms: 33 + 21 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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