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Simplifying 2x + -1(-6x) + -1(4 + -2x) = 3(x + 2) Remove parenthesis around (-6x) 2x + -1 * -6x + -1(4 + -2x) = 3(x + 2) Multiply -1 * -6 2x + 6x + -1(4 + -2x) = 3(x + 2) 2x + 6x + (4 * -1 + -2x * -1) = 3(x + 2) 2x + 6x + (-4 + 2x) = 3(x + 2) Reorder the terms: -4 + 2x + 6x + 2x = 3(x + 2) Combine like terms: 2x + 6x = 8x -4 + 8x + 2x = 3(x + 2) Combine like terms: 8x + 2x = 10x -4 + 10x = 3(x + 2) Reorder the terms: -4 + 10x = 3(2 + x) -4 + 10x = (2 * 3 + x * 3) -4 + 10x = (6 + 3x) Solving -4 + 10x = 6 + 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. -4 + 10x + -3x = 6 + 3x + -3x Combine like terms: 10x + -3x = 7x -4 + 7x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 7x = 6 + 0 -4 + 7x = 6 Add '4' to each side of the equation. -4 + 4 + 7x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 6 + 4 7x = 6 + 4 Combine like terms: 6 + 4 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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