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Simplifying 13x + 6 = 3(4x + -1) + 9 Reorder the terms: 6 + 13x = 3(4x + -1) + 9 Reorder the terms: 6 + 13x = 3(-1 + 4x) + 9 6 + 13x = (-1 * 3 + 4x * 3) + 9 6 + 13x = (-3 + 12x) + 9 Reorder the terms: 6 + 13x = -3 + 9 + 12x Combine like terms: -3 + 9 = 6 6 + 13x = 6 + 12x Add '-6' to each side of the equation. 6 + -6 + 13x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 0 + 13x = 6 + -6 + 12x 13x = 6 + -6 + 12x Combine like terms: 6 + -6 = 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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