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Simplifying -1(4x + 1) = 4x + -6x Reorder the terms: -1(1 + 4x) = 4x + -6x (1 * -1 + 4x * -1) = 4x + -6x (-1 + -4x) = 4x + -6x Combine like terms: 4x + -6x = -2x -1 + -4x = -2x Solving -1 + -4x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + -4x + 2x = -2x + 2x Combine like terms: -4x + 2x = -2x -1 + -2x = -2x + 2x Combine like terms: -2x + 2x = 0 -1 + -2x = 0 Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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