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Simplifying 13x + 2 = 2(6x + -3) + 8 Reorder the terms: 2 + 13x = 2(6x + -3) + 8 Reorder the terms: 2 + 13x = 2(-3 + 6x) + 8 2 + 13x = (-3 * 2 + 6x * 2) + 8 2 + 13x = (-6 + 12x) + 8 Reorder the terms: 2 + 13x = -6 + 8 + 12x Combine like terms: -6 + 8 = 2 2 + 13x = 2 + 12x Add '-2' to each side of the equation. 2 + -2 + 13x = 2 + -2 + 12x Combine like terms: 2 + -2 = 0 0 + 13x = 2 + -2 + 12x 13x = 2 + -2 + 12x Combine like terms: 2 + -2 = 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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