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Simplifying 5 + -3(1 + -2x) = 3x + -13 5 + (1 * -3 + -2x * -3) = 3x + -13 5 + (-3 + 6x) = 3x + -13 Combine like terms: 5 + -3 = 2 2 + 6x = 3x + -13 Reorder the terms: 2 + 6x = -13 + 3x Solving 2 + 6x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 6x + -3x = -13 + 3x + -3x Combine like terms: 6x + -3x = 3x 2 + 3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 3x = -13 + 0 2 + 3x = -13 Add '-2' to each side of the equation. 2 + -2 + 3x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -13 + -2 3x = -13 + -2 Combine like terms: -13 + -2 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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