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Simplifying 113 = 6x + -5(2x + -13) Reorder the terms: 113 = 6x + -5(-13 + 2x) 113 = 6x + (-13 * -5 + 2x * -5) 113 = 6x + (65 + -10x) Reorder the terms: 113 = 65 + 6x + -10x Combine like terms: 6x + -10x = -4x 113 = 65 + -4x Solving 113 = 65 + -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. 113 + 4x = 65 + -4x + 4x Combine like terms: -4x + 4x = 0 113 + 4x = 65 + 0 113 + 4x = 65 Add '-113' to each side of the equation. 113 + -113 + 4x = 65 + -113 Combine like terms: 113 + -113 = 0 0 + 4x = 65 + -113 4x = 65 + -113 Combine like terms: 65 + -113 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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