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Simplifying 7x + -9 + 2(2x + 1) = -4(x + 4) Reorder the terms: 7x + -9 + 2(1 + 2x) = -4(x + 4) 7x + -9 + (1 * 2 + 2x * 2) = -4(x + 4) 7x + -9 + (2 + 4x) = -4(x + 4) Reorder the terms: -9 + 2 + 7x + 4x = -4(x + 4) Combine like terms: -9 + 2 = -7 -7 + 7x + 4x = -4(x + 4) Combine like terms: 7x + 4x = 11x -7 + 11x = -4(x + 4) Reorder the terms: -7 + 11x = -4(4 + x) -7 + 11x = (4 * -4 + x * -4) -7 + 11x = (-16 + -4x) Solving -7 + 11x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 11x + 4x = -16 + -4x + 4x Combine like terms: 11x + 4x = 15x -7 + 15x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 15x = -16 + 0 -7 + 15x = -16 Add '7' to each side of the equation. -7 + 7 + 15x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = -16 + 7 15x = -16 + 7 Combine like terms: -16 + 7 = -9 15x = -9 Divide each side by '15'. x = -0.6 Simplifying x = -0.6
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