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Simplifying 4(x + -4) + -9x = -9x + 16 Reorder the terms: 4(-4 + x) + -9x = -9x + 16 (-4 * 4 + x * 4) + -9x = -9x + 16 (-16 + 4x) + -9x = -9x + 16 Combine like terms: 4x + -9x = -5x -16 + -5x = -9x + 16 Reorder the terms: -16 + -5x = 16 + -9x Solving -16 + -5x = 16 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -16 + -5x + 9x = 16 + -9x + 9x Combine like terms: -5x + 9x = 4x -16 + 4x = 16 + -9x + 9x Combine like terms: -9x + 9x = 0 -16 + 4x = 16 + 0 -16 + 4x = 16 Add '16' to each side of the equation. -16 + 16 + 4x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 16 + 16 4x = 16 + 16 Combine like terms: 16 + 16 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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