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Simplifying 5x + 2[2x + -1] = 3x + -14 Reorder the terms: 5x + 2[-1 + 2x] = 3x + -14 5x + [-1 * 2 + 2x * 2] = 3x + -14 5x + [-2 + 4x] = 3x + -14 Reorder the terms: -2 + 5x + 4x = 3x + -14 Combine like terms: 5x + 4x = 9x -2 + 9x = 3x + -14 Reorder the terms: -2 + 9x = -14 + 3x Solving -2 + 9x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 9x + -3x = -14 + 3x + -3x Combine like terms: 9x + -3x = 6x -2 + 6x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 6x = -14 + 0 -2 + 6x = -14 Add '2' to each side of the equation. -2 + 2 + 6x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -14 + 2 6x = -14 + 2 Combine like terms: -14 + 2 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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