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Simplifying 5x + -1(7x + 6) = 8x + -16 Reorder the terms: 5x + -1(6 + 7x) = 8x + -16 5x + (6 * -1 + 7x * -1) = 8x + -16 5x + (-6 + -7x) = 8x + -16 Reorder the terms: -6 + 5x + -7x = 8x + -16 Combine like terms: 5x + -7x = -2x -6 + -2x = 8x + -16 Reorder the terms: -6 + -2x = -16 + 8x Solving -6 + -2x = -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. -6 + -2x + -8x = -16 + 8x + -8x Combine like terms: -2x + -8x = -10x -6 + -10x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -10x = -16 + 0 -6 + -10x = -16 Add '6' to each side of the equation. -6 + 6 + -10x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = -16 + 6 -10x = -16 + 6 Combine like terms: -16 + 6 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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