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Simplifying 5x + 8 = -4x + 53 Reorder the terms: 8 + 5x = -4x + 53 Reorder the terms: 8 + 5x = 53 + -4x Solving 8 + 5x = 53 + -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. 8 + 5x + 4x = 53 + -4x + 4x Combine like terms: 5x + 4x = 9x 8 + 9x = 53 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 9x = 53 + 0 8 + 9x = 53 Add '-8' to each side of the equation. 8 + -8 + 9x = 53 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 53 + -8 9x = 53 + -8 Combine like terms: 53 + -8 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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