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Simplifying -6 + 5 + -7(x + 1) = -1(5x + -3) + -7x + 7 Reorder the terms: -6 + 5 + -7(1 + x) = -1(5x + -3) + -7x + 7 -6 + 5 + (1 * -7 + x * -7) = -1(5x + -3) + -7x + 7 -6 + 5 + (-7 + -7x) = -1(5x + -3) + -7x + 7 Combine like terms: -6 + 5 = -1 -1 + -7 + -7x = -1(5x + -3) + -7x + 7 Combine like terms: -1 + -7 = -8 -8 + -7x = -1(5x + -3) + -7x + 7 Reorder the terms: -8 + -7x = -1(-3 + 5x) + -7x + 7 -8 + -7x = (-3 * -1 + 5x * -1) + -7x + 7 -8 + -7x = (3 + -5x) + -7x + 7 Reorder the terms: -8 + -7x = 3 + 7 + -5x + -7x Combine like terms: 3 + 7 = 10 -8 + -7x = 10 + -5x + -7x Combine like terms: -5x + -7x = -12x -8 + -7x = 10 + -12x Solving -8 + -7x = 10 + -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. -8 + -7x + 12x = 10 + -12x + 12x Combine like terms: -7x + 12x = 5x -8 + 5x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 5x = 10 + 0 -8 + 5x = 10 Add '8' to each side of the equation. -8 + 8 + 5x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 10 + 8 5x = 10 + 8 Combine like terms: 10 + 8 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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