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Simplifying -1(x + -8) + 2x = -4x + 33 Reorder the terms: -1(-8 + x) + 2x = -4x + 33 (-8 * -1 + x * -1) + 2x = -4x + 33 (8 + -1x) + 2x = -4x + 33 Combine like terms: -1x + 2x = 1x 8 + 1x = -4x + 33 Reorder the terms: 8 + 1x = 33 + -4x Solving 8 + 1x = 33 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 1x + 4x = 33 + -4x + 4x Combine like terms: 1x + 4x = 5x 8 + 5x = 33 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 5x = 33 + 0 8 + 5x = 33 Add '-8' to each side of the equation. 8 + -8 + 5x = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 33 + -8 5x = 33 + -8 Combine like terms: 33 + -8 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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