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Simplifying 4(x + 1) + 36 = -4x Reorder the terms: 4(1 + x) + 36 = -4x (1 * 4 + x * 4) + 36 = -4x (4 + 4x) + 36 = -4x Reorder the terms: 4 + 36 + 4x = -4x Combine like terms: 4 + 36 = 40 40 + 4x = -4x Solving 40 + 4x = -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. 40 + 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 40 + 8x = -4x + 4x Combine like terms: -4x + 4x = 0 40 + 8x = 0 Add '-40' to each side of the equation. 40 + -40 + 8x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 0 + -40 8x = 0 + -40 Combine like terms: 0 + -40 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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