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Simplifying 7x + -1(2x + 5) = 6x + -16 Reorder the terms: 7x + -1(5 + 2x) = 6x + -16 7x + (5 * -1 + 2x * -1) = 6x + -16 7x + (-5 + -2x) = 6x + -16 Reorder the terms: -5 + 7x + -2x = 6x + -16 Combine like terms: 7x + -2x = 5x -5 + 5x = 6x + -16 Reorder the terms: -5 + 5x = -16 + 6x Solving -5 + 5x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 5x + -6x = -16 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -16 + 0 -5 + -1x = -16 Add '5' to each side of the equation. -5 + 5 + -1x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -16 + 5 -1x = -16 + 5 Combine like terms: -16 + 5 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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