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Simplifying 13(x + -2) = 3(4x + 2) + -32 Reorder the terms: 13(-2 + x) = 3(4x + 2) + -32 (-2 * 13 + x * 13) = 3(4x + 2) + -32 (-26 + 13x) = 3(4x + 2) + -32 Reorder the terms: -26 + 13x = 3(2 + 4x) + -32 -26 + 13x = (2 * 3 + 4x * 3) + -32 -26 + 13x = (6 + 12x) + -32 Reorder the terms: -26 + 13x = 6 + -32 + 12x Combine like terms: 6 + -32 = -26 -26 + 13x = -26 + 12x Add '26' to each side of the equation. -26 + 26 + 13x = -26 + 26 + 12x Combine like terms: -26 + 26 = 0 0 + 13x = -26 + 26 + 12x 13x = -26 + 26 + 12x Combine like terms: -26 + 26 = 0 13x = 0 + 12x 13x = 12x Solving 13x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x 1x = 12x + -12x Combine like terms: 12x + -12x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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