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Simplifying 2(x + -2) + 3x = (2x + 1) Reorder the terms: 2(-2 + x) + 3x = (2x + 1) (-2 * 2 + x * 2) + 3x = (2x + 1) (-4 + 2x) + 3x = (2x + 1) Combine like terms: 2x + 3x = 5x -4 + 5x = (2x + 1) Reorder the terms: -4 + 5x = (1 + 2x) Remove parenthesis around (1 + 2x) -4 + 5x = 1 + 2x Solving -4 + 5x = 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. -4 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x -4 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 3x = 1 + 0 -4 + 3x = 1 Add '4' to each side of the equation. -4 + 4 + 3x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 1 + 4 3x = 1 + 4 Combine like terms: 1 + 4 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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