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Simplifying 4x + -1(8x + 7) = 5x + -16 Reorder the terms: 4x + -1(7 + 8x) = 5x + -16 4x + (7 * -1 + 8x * -1) = 5x + -16 4x + (-7 + -8x) = 5x + -16 Reorder the terms: -7 + 4x + -8x = 5x + -16 Combine like terms: 4x + -8x = -4x -7 + -4x = 5x + -16 Reorder the terms: -7 + -4x = -16 + 5x Solving -7 + -4x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -4x + -5x = -16 + 5x + -5x Combine like terms: -4x + -5x = -9x -7 + -9x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -9x = -16 + 0 -7 + -9x = -16 Add '7' to each side of the equation. -7 + 7 + -9x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -16 + 7 -9x = -16 + 7 Combine like terms: -16 + 7 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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