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Simplifying -7(x + 1) = 5x + -5 + 2(2x + 2) Reorder the terms: -7(1 + x) = 5x + -5 + 2(2x + 2) (1 * -7 + x * -7) = 5x + -5 + 2(2x + 2) (-7 + -7x) = 5x + -5 + 2(2x + 2) Reorder the terms: -7 + -7x = 5x + -5 + 2(2 + 2x) -7 + -7x = 5x + -5 + (2 * 2 + 2x * 2) -7 + -7x = 5x + -5 + (4 + 4x) Reorder the terms: -7 + -7x = -5 + 4 + 5x + 4x Combine like terms: -5 + 4 = -1 -7 + -7x = -1 + 5x + 4x Combine like terms: 5x + 4x = 9x -7 + -7x = -1 + 9x Solving -7 + -7x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + -7x + -9x = -1 + 9x + -9x Combine like terms: -7x + -9x = -16x -7 + -16x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -16x = -1 + 0 -7 + -16x = -1 Add '7' to each side of the equation. -7 + 7 + -16x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = -1 + 7 -16x = -1 + 7 Combine like terms: -1 + 7 = 6 -16x = 6 Divide each side by '-16'. x = -0.375 Simplifying x = -0.375
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