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Simplifying -4(3 + -5x) + -2(x + -1) = 13x (3 * -4 + -5x * -4) + -2(x + -1) = 13x (-12 + 20x) + -2(x + -1) = 13x Reorder the terms: -12 + 20x + -2(-1 + x) = 13x -12 + 20x + (-1 * -2 + x * -2) = 13x -12 + 20x + (2 + -2x) = 13x Reorder the terms: -12 + 2 + 20x + -2x = 13x Combine like terms: -12 + 2 = -10 -10 + 20x + -2x = 13x Combine like terms: 20x + -2x = 18x -10 + 18x = 13x Solving -10 + 18x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 18x + -13x = 13x + -13x Combine like terms: 18x + -13x = 5x -10 + 5x = 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 5x = 0 Add '10' to each side of the equation. -10 + 10 + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 0 + 10 5x = 0 + 10 Combine like terms: 0 + 10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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