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Simplifying x + 7 = -4x + 52 Reorder the terms: 7 + x = -4x + 52 Reorder the terms: 7 + x = 52 + -4x Solving 7 + x = 52 + -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. 7 + x + 4x = 52 + -4x + 4x Combine like terms: x + 4x = 5x 7 + 5x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 5x = 52 + 0 7 + 5x = 52 Add '-7' to each side of the equation. 7 + -7 + 5x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 52 + -7 5x = 52 + -7 Combine like terms: 52 + -7 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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