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Simplifying -6x + 2 = 4x + 52 Reorder the terms: 2 + -6x = 4x + 52 Reorder the terms: 2 + -6x = 52 + 4x Solving 2 + -6x = 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. 2 + -6x + -4x = 52 + 4x + -4x Combine like terms: -6x + -4x = -10x 2 + -10x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -10x = 52 + 0 2 + -10x = 52 Add '-2' to each side of the equation. 2 + -2 + -10x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 52 + -2 -10x = 52 + -2 Combine like terms: 52 + -2 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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