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Simplifying x + -5 = -8 + 3(4x + 1) Reorder the terms: -5 + x = -8 + 3(4x + 1) Reorder the terms: -5 + x = -8 + 3(1 + 4x) -5 + x = -8 + (1 * 3 + 4x * 3) -5 + x = -8 + (3 + 12x) Combine like terms: -8 + 3 = -5 -5 + x = -5 + 12x Add '5' to each side of the equation. -5 + 5 + x = -5 + 5 + 12x Combine like terms: -5 + 5 = 0 0 + x = -5 + 5 + 12x x = -5 + 5 + 12x Combine like terms: -5 + 5 = 0 x = 0 + 12x x = 12x Solving x = 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. x + -12x = 12x + -12x Combine like terms: x + -12x = -11x -11x = 12x + -12x Combine like terms: 12x + -12x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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