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Simplifying 10x + 33 = 13x + 18 Reorder the terms: 33 + 10x = 13x + 18 Reorder the terms: 33 + 10x = 18 + 13x Solving 33 + 10x = 18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 33 + 10x + -13x = 18 + 13x + -13x Combine like terms: 10x + -13x = -3x 33 + -3x = 18 + 13x + -13x Combine like terms: 13x + -13x = 0 33 + -3x = 18 + 0 33 + -3x = 18 Add '-33' to each side of the equation. 33 + -33 + -3x = 18 + -33 Combine like terms: 33 + -33 = 0 0 + -3x = 18 + -33 -3x = 18 + -33 Combine like terms: 18 + -33 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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