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Simplifying x + -4(6 + -3x) = -13 + 2x x + (6 * -4 + -3x * -4) = -13 + 2x x + (-24 + 12x) = -13 + 2x Reorder the terms: -24 + x + 12x = -13 + 2x Combine like terms: x + 12x = 13x -24 + 13x = -13 + 2x Solving -24 + 13x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 13x + -2x = -13 + 2x + -2x Combine like terms: 13x + -2x = 11x -24 + 11x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 11x = -13 + 0 -24 + 11x = -13 Add '24' to each side of the equation. -24 + 24 + 11x = -13 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = -13 + 24 11x = -13 + 24 Combine like terms: -13 + 24 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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