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Simplifying 105 = 2x + -5(2x + -13) Reorder the terms: 105 = 2x + -5(-13 + 2x) 105 = 2x + (-13 * -5 + 2x * -5) 105 = 2x + (65 + -10x) Reorder the terms: 105 = 65 + 2x + -10x Combine like terms: 2x + -10x = -8x 105 = 65 + -8x Solving 105 = 65 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 105 + 8x = 65 + -8x + 8x Combine like terms: -8x + 8x = 0 105 + 8x = 65 + 0 105 + 8x = 65 Add '-105' to each side of the equation. 105 + -105 + 8x = 65 + -105 Combine like terms: 105 + -105 = 0 0 + 8x = 65 + -105 8x = 65 + -105 Combine like terms: 65 + -105 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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