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Simplifying 6x + -1(x + 6) = 100 + -16 Reorder the terms: 6x + -1(6 + x) = 100 + -16 6x + (6 * -1 + x * -1) = 100 + -16 6x + (-6 + -1x) = 100 + -16 Reorder the terms: -6 + 6x + -1x = 100 + -16 Combine like terms: 6x + -1x = 5x -6 + 5x = 100 + -16 Combine like terms: 100 + -16 = 84 -6 + 5x = 84 Solving -6 + 5x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 84 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 84 + 6 5x = 84 + 6 Combine like terms: 84 + 6 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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