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Simplifying 6(x + 5) = 8x + 16 Reorder the terms: 6(5 + x) = 8x + 16 (5 * 6 + x * 6) = 8x + 16 (30 + 6x) = 8x + 16 Reorder the terms: 30 + 6x = 16 + 8x Solving 30 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 30 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -2x = 16 + 0 30 + -2x = 16 Add '-30' to each side of the equation. 30 + -30 + -2x = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 16 + -30 -2x = 16 + -30 Combine like terms: 16 + -30 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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