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Simplifying 4(3x + -1) = 3x + 8x + -11 Reorder the terms: 4(-1 + 3x) = 3x + 8x + -11 (-1 * 4 + 3x * 4) = 3x + 8x + -11 (-4 + 12x) = 3x + 8x + -11 Reorder the terms: -4 + 12x = -11 + 3x + 8x Combine like terms: 3x + 8x = 11x -4 + 12x = -11 + 11x Solving -4 + 12x = -11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + 12x + -11x = -11 + 11x + -11x Combine like terms: 12x + -11x = 1x -4 + 1x = -11 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + 1x = -11 + 0 -4 + 1x = -11 Add '4' to each side of the equation. -4 + 4 + 1x = -11 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -11 + 4 1x = -11 + 4 Combine like terms: -11 + 4 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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