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Simplifying 13x + -1 = 3(4x + 4) + -11 Reorder the terms: -1 + 13x = 3(4x + 4) + -11 Reorder the terms: -1 + 13x = 3(4 + 4x) + -11 -1 + 13x = (4 * 3 + 4x * 3) + -11 -1 + 13x = (12 + 12x) + -11 Reorder the terms: -1 + 13x = 12 + -11 + 12x Combine like terms: 12 + -11 = 1 -1 + 13x = 1 + 12x Solving -1 + 13x = 1 + 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. -1 + 13x + -12x = 1 + 12x + -12x Combine like terms: 13x + -12x = 1x -1 + 1x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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