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Simplifying -1x + 4 = 7x + 52 Reorder the terms: 4 + -1x = 7x + 52 Reorder the terms: 4 + -1x = 52 + 7x Solving 4 + -1x = 52 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -1x + -7x = 52 + 7x + -7x Combine like terms: -1x + -7x = -8x 4 + -8x = 52 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -8x = 52 + 0 4 + -8x = 52 Add '-4' to each side of the equation. 4 + -4 + -8x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 52 + -4 -8x = 52 + -4 Combine like terms: 52 + -4 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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