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Simplifying 4(x + -4) + -9 = 2x + 9 Reorder the terms: 4(-4 + x) + -9 = 2x + 9 (-4 * 4 + x * 4) + -9 = 2x + 9 (-16 + 4x) + -9 = 2x + 9 Reorder the terms: -16 + -9 + 4x = 2x + 9 Combine like terms: -16 + -9 = -25 -25 + 4x = 2x + 9 Reorder the terms: -25 + 4x = 9 + 2x Solving -25 + 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. -25 + 4x + -2x = 9 + 2x + -2x Combine like terms: 4x + -2x = 2x -25 + 2x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 2x = 9 + 0 -25 + 2x = 9 Add '25' to each side of the equation. -25 + 25 + 2x = 9 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 9 + 25 2x = 9 + 25 Combine like terms: 9 + 25 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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