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