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Simplifying 13x + -10 = 9x + -15 + 33 Reorder the terms: -10 + 13x = 9x + -15 + 33 Reorder the terms: -10 + 13x = -15 + 33 + 9x Combine like terms: -15 + 33 = 18 -10 + 13x = 18 + 9x Solving -10 + 13x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 13x + -9x = 18 + 9x + -9x Combine like terms: 13x + -9x = 4x -10 + 4x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 4x = 18 + 0 -10 + 4x = 18 Add '10' to each side of the equation. -10 + 10 + 4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 18 + 10 4x = 18 + 10 Combine like terms: 18 + 10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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