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Simplifying 9x + -1(7x + 16) = 5 + -1(2x + -6) Reorder the terms: 9x + -1(16 + 7x) = 5 + -1(2x + -6) 9x + (16 * -1 + 7x * -1) = 5 + -1(2x + -6) 9x + (-16 + -7x) = 5 + -1(2x + -6) Reorder the terms: -16 + 9x + -7x = 5 + -1(2x + -6) Combine like terms: 9x + -7x = 2x -16 + 2x = 5 + -1(2x + -6) Reorder the terms: -16 + 2x = 5 + -1(-6 + 2x) -16 + 2x = 5 + (-6 * -1 + 2x * -1) -16 + 2x = 5 + (6 + -2x) Combine like terms: 5 + 6 = 11 -16 + 2x = 11 + -2x Solving -16 + 2x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x -16 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 4x = 11 + 0 -16 + 4x = 11 Add '16' to each side of the equation. -16 + 16 + 4x = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 11 + 16 4x = 11 + 16 Combine like terms: 11 + 16 = 27 4x = 27 Divide each side by '4'. x = 6.75 Simplifying x = 6.75
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