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Simplifying -6x + -53 = -9x + 31 Reorder the terms: -53 + -6x = -9x + 31 Reorder the terms: -53 + -6x = 31 + -9x Solving -53 + -6x = 31 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -53 + -6x + 9x = 31 + -9x + 9x Combine like terms: -6x + 9x = 3x -53 + 3x = 31 + -9x + 9x Combine like terms: -9x + 9x = 0 -53 + 3x = 31 + 0 -53 + 3x = 31 Add '53' to each side of the equation. -53 + 53 + 3x = 31 + 53 Combine like terms: -53 + 53 = 0 0 + 3x = 31 + 53 3x = 31 + 53 Combine like terms: 31 + 53 = 84 3x = 84 Divide each side by '3'. x = 28 Simplifying x = 28
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