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Simplifying 13(x + -2) = 4(3x + 1) Reorder the terms: 13(-2 + x) = 4(3x + 1) (-2 * 13 + x * 13) = 4(3x + 1) (-26 + 13x) = 4(3x + 1) Reorder the terms: -26 + 13x = 4(1 + 3x) -26 + 13x = (1 * 4 + 3x * 4) -26 + 13x = (4 + 12x) Solving -26 + 13x = 4 + 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. -26 + 13x + -12x = 4 + 12x + -12x Combine like terms: 13x + -12x = 1x -26 + 1x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -26 + 1x = 4 + 0 -26 + 1x = 4 Add '26' to each side of the equation. -26 + 26 + 1x = 4 + 26 Combine like terms: -26 + 26 = 0 0 + 1x = 4 + 26 1x = 4 + 26 Combine like terms: 4 + 26 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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