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Simplifying 8 + -1(7x + -6) = 5 + -1(4x + -6) Reorder the terms: 8 + -1(-6 + 7x) = 5 + -1(4x + -6) 8 + (-6 * -1 + 7x * -1) = 5 + -1(4x + -6) 8 + (6 + -7x) = 5 + -1(4x + -6) Combine like terms: 8 + 6 = 14 14 + -7x = 5 + -1(4x + -6) Reorder the terms: 14 + -7x = 5 + -1(-6 + 4x) 14 + -7x = 5 + (-6 * -1 + 4x * -1) 14 + -7x = 5 + (6 + -4x) Combine like terms: 5 + 6 = 11 14 + -7x = 11 + -4x Solving 14 + -7x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + -7x + 4x = 11 + -4x + 4x Combine like terms: -7x + 4x = -3x 14 + -3x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + -3x = 11 + 0 14 + -3x = 11 Add '-14' to each side of the equation. 14 + -14 + -3x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 11 + -14 -3x = 11 + -14 Combine like terms: 11 + -14 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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