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Simplifying 5x + -1(x + 1) = 7x + -6 Reorder the terms: 5x + -1(1 + x) = 7x + -6 5x + (1 * -1 + x * -1) = 7x + -6 5x + (-1 + -1x) = 7x + -6 Reorder the terms: -1 + 5x + -1x = 7x + -6 Combine like terms: 5x + -1x = 4x -1 + 4x = 7x + -6 Reorder the terms: -1 + 4x = -6 + 7x Solving -1 + 4x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 4x + -7x = -6 + 7x + -7x Combine like terms: 4x + -7x = -3x -1 + -3x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -3x = -6 + 0 -1 + -3x = -6 Add '1' to each side of the equation. -1 + 1 + -3x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -6 + 1 -3x = -6 + 1 Combine like terms: -6 + 1 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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