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Simplifying 7x + -1(2x + 7) = 8x + -16 Reorder the terms: 7x + -1(7 + 2x) = 8x + -16 7x + (7 * -1 + 2x * -1) = 8x + -16 7x + (-7 + -2x) = 8x + -16 Reorder the terms: -7 + 7x + -2x = 8x + -16 Combine like terms: 7x + -2x = 5x -7 + 5x = 8x + -16 Reorder the terms: -7 + 5x = -16 + 8x Solving -7 + 5x = -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. -7 + 5x + -8x = -16 + 8x + -8x Combine like terms: 5x + -8x = -3x -7 + -3x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -3x = -16 + 0 -7 + -3x = -16 Add '7' to each side of the equation. -7 + 7 + -3x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -16 + 7 -3x = -16 + 7 Combine like terms: -16 + 7 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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