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Simplifying 33 + -1(x + -5) = 8x + -8 Reorder the terms: 33 + -1(-5 + x) = 8x + -8 33 + (-5 * -1 + x * -1) = 8x + -8 33 + (5 + -1x) = 8x + -8 Combine like terms: 33 + 5 = 38 38 + -1x = 8x + -8 Reorder the terms: 38 + -1x = -8 + 8x Solving 38 + -1x = -8 + 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. 38 + -1x + -8x = -8 + 8x + -8x Combine like terms: -1x + -8x = -9x 38 + -9x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -9x = -8 + 0 38 + -9x = -8 Add '-38' to each side of the equation. 38 + -38 + -9x = -8 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = -8 + -38 -9x = -8 + -38 Combine like terms: -8 + -38 = -46 -9x = -46 Divide each side by '-9'. x = 5.111111111 Simplifying x = 5.111111111
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