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Simplifying 13x + 18 = 5 + -7(1 + -1x) Reorder the terms: 18 + 13x = 5 + -7(1 + -1x) 18 + 13x = 5 + (1 * -7 + -1x * -7) 18 + 13x = 5 + (-7 + 7x) Combine like terms: 5 + -7 = -2 18 + 13x = -2 + 7x Solving 18 + 13x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + 13x + -7x = -2 + 7x + -7x Combine like terms: 13x + -7x = 6x 18 + 6x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 6x = -2 + 0 18 + 6x = -2 Add '-18' to each side of the equation. 18 + -18 + 6x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -2 + -18 6x = -2 + -18 Combine like terms: -2 + -18 = -20 6x = -20 Divide each side by '6'. x = -3.333333333 Simplifying x = -3.333333333
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