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Simplifying -2(x + 7) + 4x = 4(x + -9) Reorder the terms: -2(7 + x) + 4x = 4(x + -9) (7 * -2 + x * -2) + 4x = 4(x + -9) (-14 + -2x) + 4x = 4(x + -9) Combine like terms: -2x + 4x = 2x -14 + 2x = 4(x + -9) Reorder the terms: -14 + 2x = 4(-9 + x) -14 + 2x = (-9 * 4 + x * 4) -14 + 2x = (-36 + 4x) Solving -14 + 2x = -36 + 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. -14 + 2x + -4x = -36 + 4x + -4x Combine like terms: 2x + -4x = -2x -14 + -2x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -2x = -36 + 0 -14 + -2x = -36 Add '14' to each side of the equation. -14 + 14 + -2x = -36 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -36 + 14 -2x = -36 + 14 Combine like terms: -36 + 14 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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