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Simplifying 13x + 1 = 4(3x + -2) + 9 Reorder the terms: 1 + 13x = 4(3x + -2) + 9 Reorder the terms: 1 + 13x = 4(-2 + 3x) + 9 1 + 13x = (-2 * 4 + 3x * 4) + 9 1 + 13x = (-8 + 12x) + 9 Reorder the terms: 1 + 13x = -8 + 9 + 12x Combine like terms: -8 + 9 = 1 1 + 13x = 1 + 12x Add '-1' to each side of the equation. 1 + -1 + 13x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 0 + 13x = 1 + -1 + 12x 13x = 1 + -1 + 12x Combine like terms: 1 + -1 = 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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