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Simplifying -6x + 4 = x + -52 Reorder the terms: 4 + -6x = x + -52 Reorder the terms: 4 + -6x = -52 + x Solving 4 + -6x = -52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -6x + -1x = -52 + x + -1x Combine like terms: -6x + -1x = -7x 4 + -7x = -52 + x + -1x Combine like terms: x + -1x = 0 4 + -7x = -52 + 0 4 + -7x = -52 Add '-4' to each side of the equation. 4 + -4 + -7x = -52 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -52 + -4 -7x = -52 + -4 Combine like terms: -52 + -4 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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