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Simplifying 2[x + 8] = -3[x + 3] Reorder the terms: 2[8 + x] = -3[x + 3] [8 * 2 + x * 2] = -3[x + 3] [16 + 2x] = -3[x + 3] Reorder the terms: 16 + 2x = -3[3 + x] 16 + 2x = [3 * -3 + x * -3] 16 + 2x = [-9 + -3x] Solving 16 + 2x = -9 + -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. 16 + 2x + 3x = -9 + -3x + 3x Combine like terms: 2x + 3x = 5x 16 + 5x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 5x = -9 + 0 16 + 5x = -9 Add '-16' to each side of the equation. 16 + -16 + 5x = -9 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = -9 + -16 5x = -9 + -16 Combine like terms: -9 + -16 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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