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Simplifying 10x + -33 = 13x + -5 + -10x Reorder the terms: -33 + 10x = 13x + -5 + -10x Reorder the terms: -33 + 10x = -5 + 13x + -10x Combine like terms: 13x + -10x = 3x -33 + 10x = -5 + 3x Solving -33 + 10x = -5 + 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. -33 + 10x + -3x = -5 + 3x + -3x Combine like terms: 10x + -3x = 7x -33 + 7x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 7x = -5 + 0 -33 + 7x = -5 Add '33' to each side of the equation. -33 + 33 + 7x = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 7x = -5 + 33 7x = -5 + 33 Combine like terms: -5 + 33 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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