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Simplifying 2(2x + -5) + 8 = -4 + -7(1 + x) Reorder the terms: 2(-5 + 2x) + 8 = -4 + -7(1 + x) (-5 * 2 + 2x * 2) + 8 = -4 + -7(1 + x) (-10 + 4x) + 8 = -4 + -7(1 + x) Reorder the terms: -10 + 8 + 4x = -4 + -7(1 + x) Combine like terms: -10 + 8 = -2 -2 + 4x = -4 + -7(1 + x) -2 + 4x = -4 + (1 * -7 + x * -7) -2 + 4x = -4 + (-7 + -7x) Combine like terms: -4 + -7 = -11 -2 + 4x = -11 + -7x Solving -2 + 4x = -11 + -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. -2 + 4x + 7x = -11 + -7x + 7x Combine like terms: 4x + 7x = 11x -2 + 11x = -11 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 11x = -11 + 0 -2 + 11x = -11 Add '2' to each side of the equation. -2 + 2 + 11x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -11 + 2 11x = -11 + 2 Combine like terms: -11 + 2 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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