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Simplifying 7x + -1(5 + -1x) = 4 + -1(x + 3) 7x + (5 * -1 + -1x * -1) = 4 + -1(x + 3) 7x + (-5 + 1x) = 4 + -1(x + 3) Reorder the terms: -5 + 7x + 1x = 4 + -1(x + 3) Combine like terms: 7x + 1x = 8x -5 + 8x = 4 + -1(x + 3) Reorder the terms: -5 + 8x = 4 + -1(3 + x) -5 + 8x = 4 + (3 * -1 + x * -1) -5 + 8x = 4 + (-3 + -1x) Combine like terms: 4 + -3 = 1 -5 + 8x = 1 + -1x Solving -5 + 8x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 8x + x = 1 + -1x + x Combine like terms: 8x + x = 9x -5 + 9x = 1 + -1x + x Combine like terms: -1x + x = 0 -5 + 9x = 1 + 0 -5 + 9x = 1 Add '5' to each side of the equation. -5 + 5 + 9x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 1 + 5 9x = 1 + 5 Combine like terms: 1 + 5 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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