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Simplifying (3x + -2x + 5) + -1(4x + -2x + 3) = 0 Reorder the terms: (5 + 3x + -2x) + -1(4x + -2x + 3) = 0 Combine like terms: 3x + -2x = 1x (5 + 1x) + -1(4x + -2x + 3) = 0 Remove parenthesis around (5 + 1x) 5 + 1x + -1(4x + -2x + 3) = 0 Reorder the terms: 5 + 1x + -1(3 + 4x + -2x) = 0 Combine like terms: 4x + -2x = 2x 5 + 1x + -1(3 + 2x) = 0 5 + 1x + (3 * -1 + 2x * -1) = 0 5 + 1x + (-3 + -2x) = 0 Reorder the terms: 5 + -3 + 1x + -2x = 0 Combine like terms: 5 + -3 = 2 2 + 1x + -2x = 0 Combine like terms: 1x + -2x = -1x 2 + -1x = 0 Solving 2 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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