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Simplifying 4 + 2(x + -3) = -2(x + 5) Reorder the terms: 4 + 2(-3 + x) = -2(x + 5) 4 + (-3 * 2 + x * 2) = -2(x + 5) 4 + (-6 + 2x) = -2(x + 5) Combine like terms: 4 + -6 = -2 -2 + 2x = -2(x + 5) Reorder the terms: -2 + 2x = -2(5 + x) -2 + 2x = (5 * -2 + x * -2) -2 + 2x = (-10 + -2x) Solving -2 + 2x = -10 + -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. -2 + 2x + 2x = -10 + -2x + 2x Combine like terms: 2x + 2x = 4x -2 + 4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 4x = -10 + 0 -2 + 4x = -10 Add '2' to each side of the equation. -2 + 2 + 4x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -10 + 2 4x = -10 + 2 Combine like terms: -10 + 2 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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