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Simplifying 8x + 2(6 + -1x) = 3x + 10 8x + (6 * 2 + -1x * 2) = 3x + 10 8x + (12 + -2x) = 3x + 10 Reorder the terms: 12 + 8x + -2x = 3x + 10 Combine like terms: 8x + -2x = 6x 12 + 6x = 3x + 10 Reorder the terms: 12 + 6x = 10 + 3x Solving 12 + 6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 10 + 0 12 + 3x = 10 Add '-12' to each side of the equation. 12 + -12 + 3x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 10 + -12 3x = 10 + -12 Combine like terms: 10 + -12 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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