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Simplifying 5[x + 6] = 3[x + -2] Reorder the terms: 5[6 + x] = 3[x + -2] [6 * 5 + x * 5] = 3[x + -2] [30 + 5x] = 3[x + -2] Reorder the terms: 30 + 5x = 3[-2 + x] 30 + 5x = [-2 * 3 + x * 3] 30 + 5x = [-6 + 3x] Solving 30 + 5x = -6 + 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. 30 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x 30 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 2x = -6 + 0 30 + 2x = -6 Add '-30' to each side of the equation. 30 + -30 + 2x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = -6 + -30 2x = -6 + -30 Combine like terms: -6 + -30 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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