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Simplifying 8x + -2 = 3 + 10(1 + -3x) Reorder the terms: -2 + 8x = 3 + 10(1 + -3x) -2 + 8x = 3 + (1 * 10 + -3x * 10) -2 + 8x = 3 + (10 + -30x) Combine like terms: 3 + 10 = 13 -2 + 8x = 13 + -30x Solving -2 + 8x = 13 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -2 + 8x + 30x = 13 + -30x + 30x Combine like terms: 8x + 30x = 38x -2 + 38x = 13 + -30x + 30x Combine like terms: -30x + 30x = 0 -2 + 38x = 13 + 0 -2 + 38x = 13 Add '2' to each side of the equation. -2 + 2 + 38x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 38x = 13 + 2 38x = 13 + 2 Combine like terms: 13 + 2 = 15 38x = 15 Divide each side by '38'. x = 0.3947368421 Simplifying x = 0.3947368421
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