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Simplifying -1(x + 1) = 7 + -3(5 + -1x) Reorder the terms: -1(1 + x) = 7 + -3(5 + -1x) (1 * -1 + x * -1) = 7 + -3(5 + -1x) (-1 + -1x) = 7 + -3(5 + -1x) -1 + -1x = 7 + (5 * -3 + -1x * -3) -1 + -1x = 7 + (-15 + 3x) Combine like terms: 7 + -15 = -8 -1 + -1x = -8 + 3x Solving -1 + -1x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -1x + -3x = -8 + 3x + -3x Combine like terms: -1x + -3x = -4x -1 + -4x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -4x = -8 + 0 -1 + -4x = -8 Add '1' to each side of the equation. -1 + 1 + -4x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -8 + 1 -4x = -8 + 1 Combine like terms: -8 + 1 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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