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Simplifying 3 + -2(x + -3) = 5 + (x + -2) Reorder the terms: 3 + -2(-3 + x) = 5 + (x + -2) 3 + (-3 * -2 + x * -2) = 5 + (x + -2) 3 + (6 + -2x) = 5 + (x + -2) Combine like terms: 3 + 6 = 9 9 + -2x = 5 + (x + -2) Reorder the terms: 9 + -2x = 5 + (-2 + x) Remove parenthesis around (-2 + x) 9 + -2x = 5 + -2 + x Combine like terms: 5 + -2 = 3 9 + -2x = 3 + x Solving 9 + -2x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -2x + -1x = 3 + x + -1x Combine like terms: -2x + -1x = -3x 9 + -3x = 3 + x + -1x Combine like terms: x + -1x = 0 9 + -3x = 3 + 0 9 + -3x = 3 Add '-9' to each side of the equation. 9 + -9 + -3x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 3 + -9 -3x = 3 + -9 Combine like terms: 3 + -9 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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