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Simplifying 2x + 5 + -3x + 1 = 2x + 5 Reorder the terms: 5 + 1 + 2x + -3x = 2x + 5 Combine like terms: 5 + 1 = 6 6 + 2x + -3x = 2x + 5 Combine like terms: 2x + -3x = -1x 6 + -1x = 2x + 5 Reorder the terms: 6 + -1x = 5 + 2x Solving 6 + -1x = 5 + 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. 6 + -1x + -2x = 5 + 2x + -2x Combine like terms: -1x + -2x = -3x 6 + -3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -3x = 5 + 0 6 + -3x = 5 Add '-6' to each side of the equation. 6 + -6 + -3x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 5 + -6 -3x = 5 + -6 Combine like terms: 5 + -6 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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