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Simplifying 13x + -14 = 4(3x + 5) + -6 Reorder the terms: -14 + 13x = 4(3x + 5) + -6 Reorder the terms: -14 + 13x = 4(5 + 3x) + -6 -14 + 13x = (5 * 4 + 3x * 4) + -6 -14 + 13x = (20 + 12x) + -6 Reorder the terms: -14 + 13x = 20 + -6 + 12x Combine like terms: 20 + -6 = 14 -14 + 13x = 14 + 12x Solving -14 + 13x = 14 + 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. -14 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x -14 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 1x = 14 + 0 -14 + 1x = 14 Add '14' to each side of the equation. -14 + 14 + 1x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 14 + 14 1x = 14 + 14 Combine like terms: 14 + 14 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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