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Simplifying 3(4x + 3) + -2 = 13x + 7 Reorder the terms: 3(3 + 4x) + -2 = 13x + 7 (3 * 3 + 4x * 3) + -2 = 13x + 7 (9 + 12x) + -2 = 13x + 7 Reorder the terms: 9 + -2 + 12x = 13x + 7 Combine like terms: 9 + -2 = 7 7 + 12x = 13x + 7 Reorder the terms: 7 + 12x = 7 + 13x Add '-7' to each side of the equation. 7 + -7 + 12x = 7 + -7 + 13x Combine like terms: 7 + -7 = 0 0 + 12x = 7 + -7 + 13x 12x = 7 + -7 + 13x Combine like terms: 7 + -7 = 0 12x = 0 + 13x 12x = 13x Solving 12x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12x + -13x = 13x + -13x Combine like terms: 12x + -13x = -1x -1x = 13x + -13x Combine like terms: 13x + -13x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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