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Simplifying -6 = 3 + -2(x + 4) + 3 Reorder the terms: -6 = 3 + -2(4 + x) + 3 -6 = 3 + (4 * -2 + x * -2) + 3 -6 = 3 + (-8 + -2x) + 3 Reorder the terms: -6 = 3 + -8 + 3 + -2x Combine like terms: 3 + -8 = -5 -6 = -5 + 3 + -2x Combine like terms: -5 + 3 = -2 -6 = -2 + -2x Solving -6 = -2 + -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. -6 + 2x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 2x = -2 + 0 -6 + 2x = -2 Add '6' to each side of the equation. -6 + 6 + 2x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -2 + 6 2x = -2 + 6 Combine like terms: -2 + 6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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