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