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Simplifying 4(1 + -1x) = 6(2x + -1) + -6 (1 * 4 + -1x * 4) = 6(2x + -1) + -6 (4 + -4x) = 6(2x + -1) + -6 Reorder the terms: 4 + -4x = 6(-1 + 2x) + -6 4 + -4x = (-1 * 6 + 2x * 6) + -6 4 + -4x = (-6 + 12x) + -6 Reorder the terms: 4 + -4x = -6 + -6 + 12x Combine like terms: -6 + -6 = -12 4 + -4x = -12 + 12x Solving 4 + -4x = -12 + 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. 4 + -4x + -12x = -12 + 12x + -12x Combine like terms: -4x + -12x = -16x 4 + -16x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -16x = -12 + 0 4 + -16x = -12 Add '-4' to each side of the equation. 4 + -4 + -16x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = -12 + -4 -16x = -12 + -4 Combine like terms: -12 + -4 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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