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Simplifying 10x + 2 = -8x + 38 Reorder the terms: 2 + 10x = -8x + 38 Reorder the terms: 2 + 10x = 38 + -8x Solving 2 + 10x = 38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 10x + 8x = 38 + -8x + 8x Combine like terms: 10x + 8x = 18x 2 + 18x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 18x = 38 + 0 2 + 18x = 38 Add '-2' to each side of the equation. 2 + -2 + 18x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = 38 + -2 18x = 38 + -2 Combine like terms: 38 + -2 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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