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Simplifying 3x + -8x + 99 = 8x + 42 Reorder the terms: 99 + 3x + -8x = 8x + 42 Combine like terms: 3x + -8x = -5x 99 + -5x = 8x + 42 Reorder the terms: 99 + -5x = 42 + 8x Solving 99 + -5x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 99 + -5x + -8x = 42 + 8x + -8x Combine like terms: -5x + -8x = -13x 99 + -13x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 99 + -13x = 42 + 0 99 + -13x = 42 Add '-99' to each side of the equation. 99 + -99 + -13x = 42 + -99 Combine like terms: 99 + -99 = 0 0 + -13x = 42 + -99 -13x = 42 + -99 Combine like terms: 42 + -99 = -57 -13x = -57 Divide each side by '-13'. x = 4.384615385 Simplifying x = 4.384615385
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