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Simplifying 3x + 8 + -2x = 9 + 3x + -5 Reorder the terms: 8 + 3x + -2x = 9 + 3x + -5 Combine like terms: 3x + -2x = 1x 8 + 1x = 9 + 3x + -5 Reorder the terms: 8 + 1x = 9 + -5 + 3x Combine like terms: 9 + -5 = 4 8 + 1x = 4 + 3x Solving 8 + 1x = 4 + 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. 8 + 1x + -3x = 4 + 3x + -3x Combine like terms: 1x + -3x = -2x 8 + -2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -2x = 4 + 0 8 + -2x = 4 Add '-8' to each side of the equation. 8 + -8 + -2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 4 + -8 -2x = 4 + -8 Combine like terms: 4 + -8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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