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Simplifying -2x + 3 + -1(-3 + -1x) = 3x + 2 + -1(1x) -2x + 3 + (-3 * -1 + -1x * -1) = 3x + 2 + -1(1x) -2x + 3 + (3 + 1x) = 3x + 2 + -1(1x) Reorder the terms: 3 + 3 + -2x + 1x = 3x + 2 + -1(1x) Combine like terms: 3 + 3 = 6 6 + -2x + 1x = 3x + 2 + -1(1x) Combine like terms: -2x + 1x = -1x 6 + -1x = 3x + 2 + -1(1x) Remove parenthesis around (1x) 6 + -1x = 3x + 2 + -1 * 1x Multiply -1 * 1 6 + -1x = 3x + 2 + -1x Reorder the terms: 6 + -1x = 2 + 3x + -1x Combine like terms: 3x + -1x = 2x 6 + -1x = 2 + 2x Solving 6 + -1x = 2 + 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. 6 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x 6 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -3x = 2 + 0 6 + -3x = 2 Add '-6' to each side of the equation. 6 + -6 + -3x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 2 + -6 -3x = 2 + -6 Combine like terms: 2 + -6 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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