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Simplifying 5x + -2[2x + -7] = 2[3x + -1] Reorder the terms: 5x + -2[-7 + 2x] = 2[3x + -1] 5x + [-7 * -2 + 2x * -2] = 2[3x + -1] 5x + [14 + -4x] = 2[3x + -1] Reorder the terms: 14 + 5x + -4x = 2[3x + -1] Combine like terms: 5x + -4x = 1x 14 + 1x = 2[3x + -1] Reorder the terms: 14 + 1x = 2[-1 + 3x] 14 + 1x = [-1 * 2 + 3x * 2] 14 + 1x = [-2 + 6x] Solving 14 + 1x = -2 + 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. 14 + 1x + -6x = -2 + 6x + -6x Combine like terms: 1x + -6x = -5x 14 + -5x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -5x = -2 + 0 14 + -5x = -2 Add '-14' to each side of the equation. 14 + -14 + -5x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -2 + -14 -5x = -2 + -14 Combine like terms: -2 + -14 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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