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Simplifying 8x + 3 = 10x + 1 Reorder the terms: 3 + 8x = 10x + 1 Reorder the terms: 3 + 8x = 1 + 10x Solving 3 + 8x = 1 + 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 + 8x + -10x = 1 + 10x + -10x Combine like terms: 8x + -10x = -2x 3 + -2x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -2x = 1 + 0 3 + -2x = 1 Add '-3' to each side of the equation. 3 + -3 + -2x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 1 + -3 -2x = 1 + -3 Combine like terms: 1 + -3 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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