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Simplifying 4x + -9x + 52 = 3x + 28 Reorder the terms: 52 + 4x + -9x = 3x + 28 Combine like terms: 4x + -9x = -5x 52 + -5x = 3x + 28 Reorder the terms: 52 + -5x = 28 + 3x Solving 52 + -5x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 52 + -5x + -3x = 28 + 3x + -3x Combine like terms: -5x + -3x = -8x 52 + -8x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + -8x = 28 + 0 52 + -8x = 28 Add '-52' to each side of the equation. 52 + -52 + -8x = 28 + -52 Combine like terms: 52 + -52 = 0 0 + -8x = 28 + -52 -8x = 28 + -52 Combine like terms: 28 + -52 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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