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Simplifying 6(1 + -1x) = 4(-4x + -1) (1 * 6 + -1x * 6) = 4(-4x + -1) (6 + -6x) = 4(-4x + -1) Reorder the terms: 6 + -6x = 4(-1 + -4x) 6 + -6x = (-1 * 4 + -4x * 4) 6 + -6x = (-4 + -16x) Solving 6 + -6x = -4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 6 + -6x + 16x = -4 + -16x + 16x Combine like terms: -6x + 16x = 10x 6 + 10x = -4 + -16x + 16x Combine like terms: -16x + 16x = 0 6 + 10x = -4 + 0 6 + 10x = -4 Add '-6' to each side of the equation. 6 + -6 + 10x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -4 + -6 10x = -4 + -6 Combine like terms: -4 + -6 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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