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Simplifying 3x + 2 = 4x + -1(5 + -2x) Reorder the terms: 2 + 3x = 4x + -1(5 + -2x) 2 + 3x = 4x + (5 * -1 + -2x * -1) 2 + 3x = 4x + (-5 + 2x) Reorder the terms: 2 + 3x = -5 + 4x + 2x Combine like terms: 4x + 2x = 6x 2 + 3x = -5 + 6x Solving 2 + 3x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 3x + -6x = -5 + 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x = -5 + 0 2 + -3x = -5 Add '-2' to each side of the equation. 2 + -2 + -3x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -5 + -2 -3x = -5 + -2 Combine like terms: -5 + -2 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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