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Simplifying -53 + -6x = x + 52 Reorder the terms: -53 + -6x = 52 + x Solving -53 + -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. -53 + -6x + -1x = 52 + x + -1x Combine like terms: -6x + -1x = -7x -53 + -7x = 52 + x + -1x Combine like terms: x + -1x = 0 -53 + -7x = 52 + 0 -53 + -7x = 52 Add '53' to each side of the equation. -53 + 53 + -7x = 52 + 53 Combine like terms: -53 + 53 = 0 0 + -7x = 52 + 53 -7x = 52 + 53 Combine like terms: 52 + 53 = 105 -7x = 105 Divide each side by '-7'. x = -15 Simplifying x = -15
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