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Simplifying 13x + -7 = 3(4x + 4) + -5 Reorder the terms: -7 + 13x = 3(4x + 4) + -5 Reorder the terms: -7 + 13x = 3(4 + 4x) + -5 -7 + 13x = (4 * 3 + 4x * 3) + -5 -7 + 13x = (12 + 12x) + -5 Reorder the terms: -7 + 13x = 12 + -5 + 12x Combine like terms: 12 + -5 = 7 -7 + 13x = 7 + 12x Solving -7 + 13x = 7 + 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. -7 + 13x + -12x = 7 + 12x + -12x Combine like terms: 13x + -12x = 1x -7 + 1x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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