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Simplifying 4x + 36 = -4(x + 9) Reorder the terms: 36 + 4x = -4(x + 9) Reorder the terms: 36 + 4x = -4(9 + x) 36 + 4x = (9 * -4 + x * -4) 36 + 4x = (-36 + -4x) Solving 36 + 4x = -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. 36 + 4x + 4x = -36 + -4x + 4x Combine like terms: 4x + 4x = 8x 36 + 8x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 8x = -36 + 0 36 + 8x = -36 Add '-36' to each side of the equation. 36 + -36 + 8x = -36 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = -36 + -36 8x = -36 + -36 Combine like terms: -36 + -36 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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