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Simplifying 4(x + -2) + -9 = 2x + 9 Reorder the terms: 4(-2 + x) + -9 = 2x + 9 (-2 * 4 + x * 4) + -9 = 2x + 9 (-8 + 4x) + -9 = 2x + 9 Reorder the terms: -8 + -9 + 4x = 2x + 9 Combine like terms: -8 + -9 = -17 -17 + 4x = 2x + 9 Reorder the terms: -17 + 4x = 9 + 2x Solving -17 + 4x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 4x + -2x = 9 + 2x + -2x Combine like terms: 4x + -2x = 2x -17 + 2x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 2x = 9 + 0 -17 + 2x = 9 Add '17' to each side of the equation. -17 + 17 + 2x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 9 + 17 2x = 9 + 17 Combine like terms: 9 + 17 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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