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Simplifying 15 + [2x + 4(3 + -2x)] = -3 15 + [2x + (3 * 4 + -2x * 4)] = -3 15 + [2x + (12 + -8x)] = -3 Reorder the terms: 15 + [12 + 2x + -8x] = -3 Combine like terms: 2x + -8x = -6x 15 + [12 + -6x] = -3 Remove brackets around [12 + -6x] 15 + 12 + -6x = -3 Combine like terms: 15 + 12 = 27 27 + -6x = -3 Solving 27 + -6x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -6x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = -3 + -27 -6x = -3 + -27 Combine like terms: -3 + -27 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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