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Simplifying 6 + 5(x + -2) = 2(x + 6) + 4 Reorder the terms: 6 + 5(-2 + x) = 2(x + 6) + 4 6 + (-2 * 5 + x * 5) = 2(x + 6) + 4 6 + (-10 + 5x) = 2(x + 6) + 4 Combine like terms: 6 + -10 = -4 -4 + 5x = 2(x + 6) + 4 Reorder the terms: -4 + 5x = 2(6 + x) + 4 -4 + 5x = (6 * 2 + x * 2) + 4 -4 + 5x = (12 + 2x) + 4 Reorder the terms: -4 + 5x = 12 + 4 + 2x Combine like terms: 12 + 4 = 16 -4 + 5x = 16 + 2x Solving -4 + 5x = 16 + 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. -4 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x -4 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 3x = 16 + 0 -4 + 3x = 16 Add '4' to each side of the equation. -4 + 4 + 3x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 16 + 4 3x = 16 + 4 Combine like terms: 16 + 4 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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