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Simplifying -2x + 8 + 3x = 22 + -2x + 13 Reorder the terms: 8 + -2x + 3x = 22 + -2x + 13 Combine like terms: -2x + 3x = 1x 8 + 1x = 22 + -2x + 13 Reorder the terms: 8 + 1x = 22 + 13 + -2x Combine like terms: 22 + 13 = 35 8 + 1x = 35 + -2x Solving 8 + 1x = 35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 1x + 2x = 35 + -2x + 2x Combine like terms: 1x + 2x = 3x 8 + 3x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 3x = 35 + 0 8 + 3x = 35 Add '-8' to each side of the equation. 8 + -8 + 3x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 35 + -8 3x = 35 + -8 Combine like terms: 35 + -8 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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