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Simplifying 4 + -2(x + 6) = 2x + -7(x + 2) Reorder the terms: 4 + -2(6 + x) = 2x + -7(x + 2) 4 + (6 * -2 + x * -2) = 2x + -7(x + 2) 4 + (-12 + -2x) = 2x + -7(x + 2) Combine like terms: 4 + -12 = -8 -8 + -2x = 2x + -7(x + 2) Reorder the terms: -8 + -2x = 2x + -7(2 + x) -8 + -2x = 2x + (2 * -7 + x * -7) -8 + -2x = 2x + (-14 + -7x) Reorder the terms: -8 + -2x = -14 + 2x + -7x Combine like terms: 2x + -7x = -5x -8 + -2x = -14 + -5x Solving -8 + -2x = -14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -2x + 5x = -14 + -5x + 5x Combine like terms: -2x + 5x = 3x -8 + 3x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 3x = -14 + 0 -8 + 3x = -14 Add '8' to each side of the equation. -8 + 8 + 3x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -14 + 8 3x = -14 + 8 Combine like terms: -14 + 8 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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