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Simplifying -8x + 48 = 2x + 3x + 9 Reorder the terms: 48 + -8x = 2x + 3x + 9 Reorder the terms: 48 + -8x = 9 + 2x + 3x Combine like terms: 2x + 3x = 5x 48 + -8x = 9 + 5x Solving 48 + -8x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 48 + -8x + -5x = 9 + 5x + -5x Combine like terms: -8x + -5x = -13x 48 + -13x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + -13x = 9 + 0 48 + -13x = 9 Add '-48' to each side of the equation. 48 + -48 + -13x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + -13x = 9 + -48 -13x = 9 + -48 Combine like terms: 9 + -48 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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