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Simplifying 7[x + 2] = 2[x + -3] Reorder the terms: 7[2 + x] = 2[x + -3] [2 * 7 + x * 7] = 2[x + -3] [14 + 7x] = 2[x + -3] Reorder the terms: 14 + 7x = 2[-3 + x] 14 + 7x = [-3 * 2 + x * 2] 14 + 7x = [-6 + 2x] Solving 14 + 7x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 7x + -2x = -6 + 2x + -2x Combine like terms: 7x + -2x = 5x 14 + 5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 5x = -6 + 0 14 + 5x = -6 Add '-14' to each side of the equation. 14 + -14 + 5x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -6 + -14 5x = -6 + -14 Combine like terms: -6 + -14 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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