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Simplifying 5x + 28 = 13x + 52 Reorder the terms: 28 + 5x = 13x + 52 Reorder the terms: 28 + 5x = 52 + 13x Solving 28 + 5x = 52 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 28 + 5x + -13x = 52 + 13x + -13x Combine like terms: 5x + -13x = -8x 28 + -8x = 52 + 13x + -13x Combine like terms: 13x + -13x = 0 28 + -8x = 52 + 0 28 + -8x = 52 Add '-28' to each side of the equation. 28 + -28 + -8x = 52 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = 52 + -28 -8x = 52 + -28 Combine like terms: 52 + -28 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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