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Simplifying 3x + 10 + 2x = 2[x + 8] Reorder the terms: 10 + 3x + 2x = 2[x + 8] Combine like terms: 3x + 2x = 5x 10 + 5x = 2[x + 8] Reorder the terms: 10 + 5x = 2[8 + x] 10 + 5x = [8 * 2 + x * 2] 10 + 5x = [16 + 2x] Solving 10 + 5x = 16 + 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. 10 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x 10 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 3x = 16 + 0 10 + 3x = 16 Add '-10' to each side of the equation. 10 + -10 + 3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 16 + -10 3x = 16 + -10 Combine like terms: 16 + -10 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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