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Simplifying 105 = 4x + 5(6x + -13) Reorder the terms: 105 = 4x + 5(-13 + 6x) 105 = 4x + (-13 * 5 + 6x * 5) 105 = 4x + (-65 + 30x) Reorder the terms: 105 = -65 + 4x + 30x Combine like terms: 4x + 30x = 34x 105 = -65 + 34x Solving 105 = -65 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 105 + -34x = -65 + 34x + -34x Combine like terms: 34x + -34x = 0 105 + -34x = -65 + 0 105 + -34x = -65 Add '-105' to each side of the equation. 105 + -105 + -34x = -65 + -105 Combine like terms: 105 + -105 = 0 0 + -34x = -65 + -105 -34x = -65 + -105 Combine like terms: -65 + -105 = -170 -34x = -170 Divide each side by '-34'. x = 5 Simplifying x = 5
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