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Simplifying 85 + -1(4x + -6) = x + 1 Reorder the terms: 85 + -1(-6 + 4x) = x + 1 85 + (-6 * -1 + 4x * -1) = x + 1 85 + (6 + -4x) = x + 1 Combine like terms: 85 + 6 = 91 91 + -4x = x + 1 Reorder the terms: 91 + -4x = 1 + x Solving 91 + -4x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 91 + -4x + -1x = 1 + x + -1x Combine like terms: -4x + -1x = -5x 91 + -5x = 1 + x + -1x Combine like terms: x + -1x = 0 91 + -5x = 1 + 0 91 + -5x = 1 Add '-91' to each side of the equation. 91 + -91 + -5x = 1 + -91 Combine like terms: 91 + -91 = 0 0 + -5x = 1 + -91 -5x = 1 + -91 Combine like terms: 1 + -91 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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