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Simplifying 3x + -4(1 + 3x) = 8 + 3x 3x + (1 * -4 + 3x * -4) = 8 + 3x 3x + (-4 + -12x) = 8 + 3x Reorder the terms: -4 + 3x + -12x = 8 + 3x Combine like terms: 3x + -12x = -9x -4 + -9x = 8 + 3x Solving -4 + -9x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -9x + -3x = 8 + 3x + -3x Combine like terms: -9x + -3x = -12x -4 + -12x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -12x = 8 + 0 -4 + -12x = 8 Add '4' to each side of the equation. -4 + 4 + -12x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 8 + 4 -12x = 8 + 4 Combine like terms: 8 + 4 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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