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Simplifying 3(x + -1) + 52 = -4x Reorder the terms: 3(-1 + x) + 52 = -4x (-1 * 3 + x * 3) + 52 = -4x (-3 + 3x) + 52 = -4x Reorder the terms: -3 + 52 + 3x = -4x Combine like terms: -3 + 52 = 49 49 + 3x = -4x Solving 49 + 3x = -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. 49 + 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x 49 + 7x = -4x + 4x Combine like terms: -4x + 4x = 0 49 + 7x = 0 Add '-49' to each side of the equation. 49 + -49 + 7x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = 0 + -49 7x = 0 + -49 Combine like terms: 0 + -49 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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