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Simplifying 102 + -4x = 9x + 24 Reorder the terms: 102 + -4x = 24 + 9x Solving 102 + -4x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 102 + -4x + -9x = 24 + 9x + -9x Combine like terms: -4x + -9x = -13x 102 + -13x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 102 + -13x = 24 + 0 102 + -13x = 24 Add '-102' to each side of the equation. 102 + -102 + -13x = 24 + -102 Combine like terms: 102 + -102 = 0 0 + -13x = 24 + -102 -13x = 24 + -102 Combine like terms: 24 + -102 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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