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Simplifying 3 + -5x = 13 + -1(6x + 2) Reorder the terms: 3 + -5x = 13 + -1(2 + 6x) 3 + -5x = 13 + (2 * -1 + 6x * -1) 3 + -5x = 13 + (-2 + -6x) Combine like terms: 13 + -2 = 11 3 + -5x = 11 + -6x Solving 3 + -5x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -5x + 6x = 11 + -6x + 6x Combine like terms: -5x + 6x = 1x 3 + 1x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 1x = 11 + 0 3 + 1x = 11 Add '-3' to each side of the equation. 3 + -3 + 1x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 11 + -3 1x = 11 + -3 Combine like terms: 11 + -3 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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