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Simplifying 3x + 2(4x + -6) = 8x + 11 Reorder the terms: 3x + 2(-6 + 4x) = 8x + 11 3x + (-6 * 2 + 4x * 2) = 8x + 11 3x + (-12 + 8x) = 8x + 11 Reorder the terms: -12 + 3x + 8x = 8x + 11 Combine like terms: 3x + 8x = 11x -12 + 11x = 8x + 11 Reorder the terms: -12 + 11x = 11 + 8x Solving -12 + 11x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 11x + -8x = 11 + 8x + -8x Combine like terms: 11x + -8x = 3x -12 + 3x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 3x = 11 + 0 -12 + 3x = 11 Add '12' to each side of the equation. -12 + 12 + 3x = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 11 + 12 3x = 11 + 12 Combine like terms: 11 + 12 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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