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Simplifying 7 = 7x + 3(5x + -13) Reorder the terms: 7 = 7x + 3(-13 + 5x) 7 = 7x + (-13 * 3 + 5x * 3) 7 = 7x + (-39 + 15x) Reorder the terms: 7 = -39 + 7x + 15x Combine like terms: 7x + 15x = 22x 7 = -39 + 22x Solving 7 = -39 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 7 + -22x = -39 + 22x + -22x Combine like terms: 22x + -22x = 0 7 + -22x = -39 + 0 7 + -22x = -39 Add '-7' to each side of the equation. 7 + -7 + -22x = -39 + -7 Combine like terms: 7 + -7 = 0 0 + -22x = -39 + -7 -22x = -39 + -7 Combine like terms: -39 + -7 = -46 -22x = -46 Divide each side by '-22'. x = 2.090909091 Simplifying x = 2.090909091
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