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Simplifying -2(x + -3) = 5(x + 1) + -13 Reorder the terms: -2(-3 + x) = 5(x + 1) + -13 (-3 * -2 + x * -2) = 5(x + 1) + -13 (6 + -2x) = 5(x + 1) + -13 Reorder the terms: 6 + -2x = 5(1 + x) + -13 6 + -2x = (1 * 5 + x * 5) + -13 6 + -2x = (5 + 5x) + -13 Reorder the terms: 6 + -2x = 5 + -13 + 5x Combine like terms: 5 + -13 = -8 6 + -2x = -8 + 5x Solving 6 + -2x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -2x + -5x = -8 + 5x + -5x Combine like terms: -2x + -5x = -7x 6 + -7x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -7x = -8 + 0 6 + -7x = -8 Add '-6' to each side of the equation. 6 + -6 + -7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -8 + -6 -7x = -8 + -6 Combine like terms: -8 + -6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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