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Simplifying 2 + -1(3x + -2x) + 2 = 5x + -3x + 11 Combine like terms: 3x + -2x = 1x 2 + -1(1x) + 2 = 5x + -3x + 11 Remove parenthesis around (1x) 2 + -1 * 1x + 2 = 5x + -3x + 11 Multiply -1 * 1 2 + -1x + 2 = 5x + -3x + 11 Reorder the terms: 2 + 2 + -1x = 5x + -3x + 11 Combine like terms: 2 + 2 = 4 4 + -1x = 5x + -3x + 11 Reorder the terms: 4 + -1x = 11 + 5x + -3x Combine like terms: 5x + -3x = 2x 4 + -1x = 11 + 2x Solving 4 + -1x = 11 + 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 + -1x + -2x = 11 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = 11 + 0 4 + -3x = 11 Add '-4' to each side of the equation. 4 + -4 + -3x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 11 + -4 -3x = 11 + -4 Combine like terms: 11 + -4 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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