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Simplifying 1(4x + -1) = 12x + 6 Reorder the terms: 1(-1 + 4x) = 12x + 6 (-1 * 1 + 4x * 1) = 12x + 6 (-1 + 4x) = 12x + 6 Reorder the terms: -1 + 4x = 6 + 12x Solving -1 + 4x = 6 + 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 + 4x + -12x = 6 + 12x + -12x Combine like terms: 4x + -12x = -8x -1 + -8x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -8x = 6 + 0 -1 + -8x = 6 Add '1' to each side of the equation. -1 + 1 + -8x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 6 + 1 -8x = 6 + 1 Combine like terms: 6 + 1 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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