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Simplifying 4x + -2 = 102 + -9x Reorder the terms: -2 + 4x = 102 + -9x Solving -2 + 4x = 102 + -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. -2 + 4x + 9x = 102 + -9x + 9x Combine like terms: 4x + 9x = 13x -2 + 13x = 102 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 13x = 102 + 0 -2 + 13x = 102 Add '2' to each side of the equation. -2 + 2 + 13x = 102 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 102 + 2 13x = 102 + 2 Combine like terms: 102 + 2 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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