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Simplifying 3x + 4 = -3x + 52 Reorder the terms: 4 + 3x = -3x + 52 Reorder the terms: 4 + 3x = 52 + -3x Solving 4 + 3x = 52 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 3x + 3x = 52 + -3x + 3x Combine like terms: 3x + 3x = 6x 4 + 6x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 6x = 52 + 0 4 + 6x = 52 Add '-4' to each side of the equation. 4 + -4 + 6x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 52 + -4 6x = 52 + -4 Combine like terms: 52 + -4 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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