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Simplifying 13x + -2 = 4(3x + 2) + -6 Reorder the terms: -2 + 13x = 4(3x + 2) + -6 Reorder the terms: -2 + 13x = 4(2 + 3x) + -6 -2 + 13x = (2 * 4 + 3x * 4) + -6 -2 + 13x = (8 + 12x) + -6 Reorder the terms: -2 + 13x = 8 + -6 + 12x Combine like terms: 8 + -6 = 2 -2 + 13x = 2 + 12x Solving -2 + 13x = 2 + 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. -2 + 13x + -12x = 2 + 12x + -12x Combine like terms: 13x + -12x = 1x -2 + 1x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + 1x = 2 + 0 -2 + 1x = 2 Add '2' to each side of the equation. -2 + 2 + 1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 2 + 2 1x = 2 + 2 Combine like terms: 2 + 2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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