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Simplifying -5(x + 1) = 3x + 33 Reorder the terms: -5(1 + x) = 3x + 33 (1 * -5 + x * -5) = 3x + 33 (-5 + -5x) = 3x + 33 Reorder the terms: -5 + -5x = 33 + 3x Solving -5 + -5x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -5x + -3x = 33 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = 33 + 0 -5 + -8x = 33 Add '5' to each side of the equation. -5 + 5 + -8x = 33 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 33 + 5 -8x = 33 + 5 Combine like terms: 33 + 5 = 38 -8x = 38 Divide each side by '-8'. x = -4.75 Simplifying x = -4.75
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