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Simplifying 100(6 + x) = 16(x) (6 * 100 + x * 100) = 16(x) (600 + 100x) = 16(x) Solving 600 + 100x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 600 + 100x + -16x = 16x + -16x Combine like terms: 100x + -16x = 84x 600 + 84x = 16x + -16x Combine like terms: 16x + -16x = 0 600 + 84x = 0 Add '-600' to each side of the equation. 600 + -600 + 84x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + 84x = 0 + -600 84x = 0 + -600 Combine like terms: 0 + -600 = -600 84x = -600 Divide each side by '84'. x = -7.142857143 Simplifying x = -7.142857143
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