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Simplifying 31 + -1(x + 6) = 6x + -5 Reorder the terms: 31 + -1(6 + x) = 6x + -5 31 + (6 * -1 + x * -1) = 6x + -5 31 + (-6 + -1x) = 6x + -5 Combine like terms: 31 + -6 = 25 25 + -1x = 6x + -5 Reorder the terms: 25 + -1x = -5 + 6x Solving 25 + -1x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + -1x + -6x = -5 + 6x + -6x Combine like terms: -1x + -6x = -7x 25 + -7x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -7x = -5 + 0 25 + -7x = -5 Add '-25' to each side of the equation. 25 + -25 + -7x = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -5 + -25 -7x = -5 + -25 Combine like terms: -5 + -25 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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