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Simplifying 10x + 2 = 2(3x + 1) + -1x + 8 Reorder the terms: 2 + 10x = 2(3x + 1) + -1x + 8 Reorder the terms: 2 + 10x = 2(1 + 3x) + -1x + 8 2 + 10x = (1 * 2 + 3x * 2) + -1x + 8 2 + 10x = (2 + 6x) + -1x + 8 Reorder the terms: 2 + 10x = 2 + 8 + 6x + -1x Combine like terms: 2 + 8 = 10 2 + 10x = 10 + 6x + -1x Combine like terms: 6x + -1x = 5x 2 + 10x = 10 + 5x Solving 2 + 10x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x 2 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 5x = 10 + 0 2 + 5x = 10 Add '-2' to each side of the equation. 2 + -2 + 5x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 10 + -2 5x = 10 + -2 Combine like terms: 10 + -2 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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