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Simplifying -2x + -7(x + 1) = 2(4x + 5) Reorder the terms: -2x + -7(1 + x) = 2(4x + 5) -2x + (1 * -7 + x * -7) = 2(4x + 5) -2x + (-7 + -7x) = 2(4x + 5) Reorder the terms: -7 + -2x + -7x = 2(4x + 5) Combine like terms: -2x + -7x = -9x -7 + -9x = 2(4x + 5) Reorder the terms: -7 + -9x = 2(5 + 4x) -7 + -9x = (5 * 2 + 4x * 2) -7 + -9x = (10 + 8x) Solving -7 + -9x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + -9x + -8x = 10 + 8x + -8x Combine like terms: -9x + -8x = -17x -7 + -17x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -17x = 10 + 0 -7 + -17x = 10 Add '7' to each side of the equation. -7 + 7 + -17x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -17x = 10 + 7 -17x = 10 + 7 Combine like terms: 10 + 7 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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