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Simplifying 2x + 5x + -9 = 3x + -7(x + 4) Reorder the terms: -9 + 2x + 5x = 3x + -7(x + 4) Combine like terms: 2x + 5x = 7x -9 + 7x = 3x + -7(x + 4) Reorder the terms: -9 + 7x = 3x + -7(4 + x) -9 + 7x = 3x + (4 * -7 + x * -7) -9 + 7x = 3x + (-28 + -7x) Reorder the terms: -9 + 7x = -28 + 3x + -7x Combine like terms: 3x + -7x = -4x -9 + 7x = -28 + -4x Solving -9 + 7x = -28 + -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. -9 + 7x + 4x = -28 + -4x + 4x Combine like terms: 7x + 4x = 11x -9 + 11x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 11x = -28 + 0 -9 + 11x = -28 Add '9' to each side of the equation. -9 + 9 + 11x = -28 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = -28 + 9 11x = -28 + 9 Combine like terms: -28 + 9 = -19 11x = -19 Divide each side by '11'. x = -1.727272727 Simplifying x = -1.727272727
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