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Simplifying 10x + -3 + -2x = 3x + 12 + -2x Reorder the terms: -3 + 10x + -2x = 3x + 12 + -2x Combine like terms: 10x + -2x = 8x -3 + 8x = 3x + 12 + -2x Reorder the terms: -3 + 8x = 12 + 3x + -2x Combine like terms: 3x + -2x = 1x -3 + 8x = 12 + 1x Solving -3 + 8x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 8x + -1x = 12 + 1x + -1x Combine like terms: 8x + -1x = 7x -3 + 7x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 7x = 12 + 0 -3 + 7x = 12 Add '3' to each side of the equation. -3 + 3 + 7x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 12 + 3 7x = 12 + 3 Combine like terms: 12 + 3 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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