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Simplifying 5x + -7 + 2(2x + 5) = -7(x + 1) Reorder the terms: 5x + -7 + 2(5 + 2x) = -7(x + 1) 5x + -7 + (5 * 2 + 2x * 2) = -7(x + 1) 5x + -7 + (10 + 4x) = -7(x + 1) Reorder the terms: -7 + 10 + 5x + 4x = -7(x + 1) Combine like terms: -7 + 10 = 3 3 + 5x + 4x = -7(x + 1) Combine like terms: 5x + 4x = 9x 3 + 9x = -7(x + 1) Reorder the terms: 3 + 9x = -7(1 + x) 3 + 9x = (1 * -7 + x * -7) 3 + 9x = (-7 + -7x) Solving 3 + 9x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 9x + 7x = -7 + -7x + 7x Combine like terms: 9x + 7x = 16x 3 + 16x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 16x = -7 + 0 3 + 16x = -7 Add '-3' to each side of the equation. 3 + -3 + 16x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = -7 + -3 16x = -7 + -3 Combine like terms: -7 + -3 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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