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Simplifying 4(x + 1) + 52 = -4x Reorder the terms: 4(1 + x) + 52 = -4x (1 * 4 + x * 4) + 52 = -4x (4 + 4x) + 52 = -4x Reorder the terms: 4 + 52 + 4x = -4x Combine like terms: 4 + 52 = 56 56 + 4x = -4x Solving 56 + 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. 56 + 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 56 + 8x = -4x + 4x Combine like terms: -4x + 4x = 0 56 + 8x = 0 Add '-56' to each side of the equation. 56 + -56 + 8x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = 0 + -56 8x = 0 + -56 Combine like terms: 0 + -56 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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