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Simplifying (2x + -1) + -3(x + 2) = 5x + 1 Reorder the terms: (-1 + 2x) + -3(x + 2) = 5x + 1 Remove parenthesis around (-1 + 2x) -1 + 2x + -3(x + 2) = 5x + 1 Reorder the terms: -1 + 2x + -3(2 + x) = 5x + 1 -1 + 2x + (2 * -3 + x * -3) = 5x + 1 -1 + 2x + (-6 + -3x) = 5x + 1 Reorder the terms: -1 + -6 + 2x + -3x = 5x + 1 Combine like terms: -1 + -6 = -7 -7 + 2x + -3x = 5x + 1 Combine like terms: 2x + -3x = -1x -7 + -1x = 5x + 1 Reorder the terms: -7 + -1x = 1 + 5x Solving -7 + -1x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -1x + -5x = 1 + 5x + -5x Combine like terms: -1x + -5x = -6x -7 + -6x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -6x = 1 + 0 -7 + -6x = 1 Add '7' to each side of the equation. -7 + 7 + -6x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 1 + 7 -6x = 1 + 7 Combine like terms: 1 + 7 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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