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Simplifying 7(x + -1) = 3x + 5 + -2(-4x + -1) Reorder the terms: 7(-1 + x) = 3x + 5 + -2(-4x + -1) (-1 * 7 + x * 7) = 3x + 5 + -2(-4x + -1) (-7 + 7x) = 3x + 5 + -2(-4x + -1) Reorder the terms: -7 + 7x = 3x + 5 + -2(-1 + -4x) -7 + 7x = 3x + 5 + (-1 * -2 + -4x * -2) -7 + 7x = 3x + 5 + (2 + 8x) Reorder the terms: -7 + 7x = 5 + 2 + 3x + 8x Combine like terms: 5 + 2 = 7 -7 + 7x = 7 + 3x + 8x Combine like terms: 3x + 8x = 11x -7 + 7x = 7 + 11x Solving -7 + 7x = 7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 7x + -11x = 7 + 11x + -11x Combine like terms: 7x + -11x = -4x -7 + -4x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + -4x = 7 + 0 -7 + -4x = 7 Add '7' to each side of the equation. -7 + 7 + -4x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 7 + 7 -4x = 7 + 7 Combine like terms: 7 + 7 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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