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Simplifying 5x + -3 = 102 + -10x Reorder the terms: -3 + 5x = 102 + -10x Solving -3 + 5x = 102 + -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. -3 + 5x + 10x = 102 + -10x + 10x Combine like terms: 5x + 10x = 15x -3 + 15x = 102 + -10x + 10x Combine like terms: -10x + 10x = 0 -3 + 15x = 102 + 0 -3 + 15x = 102 Add '3' to each side of the equation. -3 + 3 + 15x = 102 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = 102 + 3 15x = 102 + 3 Combine like terms: 102 + 3 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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