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Simplifying 13x + 5 = 4(3x + -1) + 9 Reorder the terms: 5 + 13x = 4(3x + -1) + 9 Reorder the terms: 5 + 13x = 4(-1 + 3x) + 9 5 + 13x = (-1 * 4 + 3x * 4) + 9 5 + 13x = (-4 + 12x) + 9 Reorder the terms: 5 + 13x = -4 + 9 + 12x Combine like terms: -4 + 9 = 5 5 + 13x = 5 + 12x Add '-5' to each side of the equation. 5 + -5 + 13x = 5 + -5 + 12x Combine like terms: 5 + -5 = 0 0 + 13x = 5 + -5 + 12x 13x = 5 + -5 + 12x Combine like terms: 5 + -5 = 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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