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Simplifying 5x + 33(x + -1) = 10x + -2x + -1 Reorder the terms: 5x + 33(-1 + x) = 10x + -2x + -1 5x + (-1 * 33 + x * 33) = 10x + -2x + -1 5x + (-33 + 33x) = 10x + -2x + -1 Reorder the terms: -33 + 5x + 33x = 10x + -2x + -1 Combine like terms: 5x + 33x = 38x -33 + 38x = 10x + -2x + -1 Reorder the terms: -33 + 38x = -1 + 10x + -2x Combine like terms: 10x + -2x = 8x -33 + 38x = -1 + 8x Solving -33 + 38x = -1 + 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. -33 + 38x + -8x = -1 + 8x + -8x Combine like terms: 38x + -8x = 30x -33 + 30x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -33 + 30x = -1 + 0 -33 + 30x = -1 Add '33' to each side of the equation. -33 + 33 + 30x = -1 + 33 Combine like terms: -33 + 33 = 0 0 + 30x = -1 + 33 30x = -1 + 33 Combine like terms: -1 + 33 = 32 30x = 32 Divide each side by '30'. x = 1.066666667 Simplifying x = 1.066666667
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