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Simplifying -6(1 + x) = -4(x + -1) (1 * -6 + x * -6) = -4(x + -1) (-6 + -6x) = -4(x + -1) Reorder the terms: -6 + -6x = -4(-1 + x) -6 + -6x = (-1 * -4 + x * -4) -6 + -6x = (4 + -4x) Solving -6 + -6x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -6x + 4x = 4 + -4x + 4x Combine like terms: -6x + 4x = -2x -6 + -2x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + -2x = 4 + 0 -6 + -2x = 4 Add '6' to each side of the equation. -6 + 6 + -2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 4 + 6 -2x = 4 + 6 Combine like terms: 4 + 6 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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