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Simplifying 13x + -2(x + 4) = 8x + 12 Reorder the terms: 13x + -2(4 + x) = 8x + 12 13x + (4 * -2 + x * -2) = 8x + 12 13x + (-8 + -2x) = 8x + 12 Reorder the terms: -8 + 13x + -2x = 8x + 12 Combine like terms: 13x + -2x = 11x -8 + 11x = 8x + 12 Reorder the terms: -8 + 11x = 12 + 8x Solving -8 + 11x = 12 + 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. -8 + 11x + -8x = 12 + 8x + -8x Combine like terms: 11x + -8x = 3x -8 + 3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 3x = 12 + 0 -8 + 3x = 12 Add '8' to each side of the equation. -8 + 8 + 3x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 12 + 8 3x = 12 + 8 Combine like terms: 12 + 8 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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