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Simplifying 10x + 3x + -102 = -10x + 45 Reorder the terms: -102 + 10x + 3x = -10x + 45 Combine like terms: 10x + 3x = 13x -102 + 13x = -10x + 45 Reorder the terms: -102 + 13x = 45 + -10x Solving -102 + 13x = 45 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -102 + 13x + 10x = 45 + -10x + 10x Combine like terms: 13x + 10x = 23x -102 + 23x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 -102 + 23x = 45 + 0 -102 + 23x = 45 Add '102' to each side of the equation. -102 + 102 + 23x = 45 + 102 Combine like terms: -102 + 102 = 0 0 + 23x = 45 + 102 23x = 45 + 102 Combine like terms: 45 + 102 = 147 23x = 147 Divide each side by '23'. x = 6.391304348 Simplifying x = 6.391304348
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