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Simplifying 2(3x + 2) + -2[5x + -5(x + -2)] = 6 Reorder the terms: 2(2 + 3x) + -2[5x + -5(x + -2)] = 6 (2 * 2 + 3x * 2) + -2[5x + -5(x + -2)] = 6 (4 + 6x) + -2[5x + -5(x + -2)] = 6 Reorder the terms: 4 + 6x + -2[5x + -5(-2 + x)] = 6 4 + 6x + -2[5x + (-2 * -5 + x * -5)] = 6 4 + 6x + -2[5x + (10 + -5x)] = 6 Reorder the terms: 4 + 6x + -2[10 + 5x + -5x] = 6 Combine like terms: 5x + -5x = 0 4 + 6x + -2[10 + 0] = 6 4 + 6x + -2[10] = 6 Multiply -2 * 10 4 + 6x + -20 = 6 Reorder the terms: 4 + -20 + 6x = 6 Combine like terms: 4 + -20 = -16 -16 + 6x = 6 Solving -16 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 6x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 6 + 16 6x = 6 + 16 Combine like terms: 6 + 16 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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