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Simplifying 13x + -3 = 3(4x + 2) + -3 Reorder the terms: -3 + 13x = 3(4x + 2) + -3 Reorder the terms: -3 + 13x = 3(2 + 4x) + -3 -3 + 13x = (2 * 3 + 4x * 3) + -3 -3 + 13x = (6 + 12x) + -3 Reorder the terms: -3 + 13x = 6 + -3 + 12x Combine like terms: 6 + -3 = 3 -3 + 13x = 3 + 12x Solving -3 + 13x = 3 + 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. -3 + 13x + -12x = 3 + 12x + -12x Combine like terms: 13x + -12x = 1x -3 + 1x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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