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Simplifying 13x + 1 = 3(4x + -2) + 7 Reorder the terms: 1 + 13x = 3(4x + -2) + 7 Reorder the terms: 1 + 13x = 3(-2 + 4x) + 7 1 + 13x = (-2 * 3 + 4x * 3) + 7 1 + 13x = (-6 + 12x) + 7 Reorder the terms: 1 + 13x = -6 + 7 + 12x Combine like terms: -6 + 7 = 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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