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Simplifying 5x + -1(6 + -1x) = 4(1 + -1x) 5x + (6 * -1 + -1x * -1) = 4(1 + -1x) 5x + (-6 + 1x) = 4(1 + -1x) Reorder the terms: -6 + 5x + 1x = 4(1 + -1x) Combine like terms: 5x + 1x = 6x -6 + 6x = 4(1 + -1x) -6 + 6x = (1 * 4 + -1x * 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 = 10x -6 + 10x = 4 + -4x + 4x Combine like terms: -4x + 4x = 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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