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Simplifying 3[2x + 8] = 2[x + 26] Reorder the terms: 3[8 + 2x] = 2[x + 26] [8 * 3 + 2x * 3] = 2[x + 26] [24 + 6x] = 2[x + 26] Reorder the terms: 24 + 6x = 2[26 + x] 24 + 6x = [26 * 2 + x * 2] 24 + 6x = [52 + 2x] Solving 24 + 6x = 52 + 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. 24 + 6x + -2x = 52 + 2x + -2x Combine like terms: 6x + -2x = 4x 24 + 4x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 4x = 52 + 0 24 + 4x = 52 Add '-24' to each side of the equation. 24 + -24 + 4x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 52 + -24 4x = 52 + -24 Combine like terms: 52 + -24 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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