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Simplifying 6(x + 5) = 2(x + 31) Reorder the terms: 6(5 + x) = 2(x + 31) (5 * 6 + x * 6) = 2(x + 31) (30 + 6x) = 2(x + 31) Reorder the terms: 30 + 6x = 2(31 + x) 30 + 6x = (31 * 2 + x * 2) 30 + 6x = (62 + 2x) Solving 30 + 6x = 62 + 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. 30 + 6x + -2x = 62 + 2x + -2x Combine like terms: 6x + -2x = 4x 30 + 4x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 4x = 62 + 0 30 + 4x = 62 Add '-30' to each side of the equation. 30 + -30 + 4x = 62 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 62 + -30 4x = 62 + -30 Combine like terms: 62 + -30 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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