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Simplifying 13x + 7 = 2(6x + -1) + 9 Reorder the terms: 7 + 13x = 2(6x + -1) + 9 Reorder the terms: 7 + 13x = 2(-1 + 6x) + 9 7 + 13x = (-1 * 2 + 6x * 2) + 9 7 + 13x = (-2 + 12x) + 9 Reorder the terms: 7 + 13x = -2 + 9 + 12x Combine like terms: -2 + 9 = 7 7 + 13x = 7 + 12x Add '-7' to each side of the equation. 7 + -7 + 13x = 7 + -7 + 12x Combine like terms: 7 + -7 = 0 0 + 13x = 7 + -7 + 12x 13x = 7 + -7 + 12x Combine like terms: 7 + -7 = 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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