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Simplifying 4x + 9 = -4(x + -4) Reorder the terms: 9 + 4x = -4(x + -4) Reorder the terms: 9 + 4x = -4(-4 + x) 9 + 4x = (-4 * -4 + x * -4) 9 + 4x = (16 + -4x) Solving 9 + 4x = 16 + -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 + 4x + 4x = 16 + -4x + 4x Combine like terms: 4x + 4x = 8x 9 + 8x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 8x = 16 + 0 9 + 8x = 16 Add '-9' to each side of the equation. 9 + -9 + 8x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 16 + -9 8x = 16 + -9 Combine like terms: 16 + -9 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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