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Simplifying 8x + 2(x + 6) = 2x + 15 Reorder the terms: 8x + 2(6 + x) = 2x + 15 8x + (6 * 2 + x * 2) = 2x + 15 8x + (12 + 2x) = 2x + 15 Reorder the terms: 12 + 8x + 2x = 2x + 15 Combine like terms: 8x + 2x = 10x 12 + 10x = 2x + 15 Reorder the terms: 12 + 10x = 15 + 2x Solving 12 + 10x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 10x + -2x = 15 + 2x + -2x Combine like terms: 10x + -2x = 8x 12 + 8x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 8x = 15 + 0 12 + 8x = 15 Add '-12' to each side of the equation. 12 + -12 + 8x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 15 + -12 8x = 15 + -12 Combine like terms: 15 + -12 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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