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Simplifying 2x + 5 + -1x = 3(2 + -1x) + 7 Reorder the terms: 5 + 2x + -1x = 3(2 + -1x) + 7 Combine like terms: 2x + -1x = 1x 5 + 1x = 3(2 + -1x) + 7 5 + 1x = (2 * 3 + -1x * 3) + 7 5 + 1x = (6 + -3x) + 7 Reorder the terms: 5 + 1x = 6 + 7 + -3x Combine like terms: 6 + 7 = 13 5 + 1x = 13 + -3x Solving 5 + 1x = 13 + -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. 5 + 1x + 3x = 13 + -3x + 3x Combine like terms: 1x + 3x = 4x 5 + 4x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 4x = 13 + 0 5 + 4x = 13 Add '-5' to each side of the equation. 5 + -5 + 4x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 13 + -5 4x = 13 + -5 Combine like terms: 13 + -5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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