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Simplifying -5(x + 5) + 31 = 13 + -6x Reorder the terms: -5(5 + x) + 31 = 13 + -6x (5 * -5 + x * -5) + 31 = 13 + -6x (-25 + -5x) + 31 = 13 + -6x Reorder the terms: -25 + 31 + -5x = 13 + -6x Combine like terms: -25 + 31 = 6 6 + -5x = 13 + -6x Solving 6 + -5x = 13 + -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. 6 + -5x + 6x = 13 + -6x + 6x Combine like terms: -5x + 6x = 1x 6 + 1x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 1x = 13 + 0 6 + 1x = 13 Add '-6' to each side of the equation. 6 + -6 + 1x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 13 + -6 1x = 13 + -6 Combine like terms: 13 + -6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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