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Simplifying 5 + -2(x + 4) = -2 + -1(-12) Reorder the terms: 5 + -2(4 + x) = -2 + -1(-12) 5 + (4 * -2 + x * -2) = -2 + -1(-12) 5 + (-8 + -2x) = -2 + -1(-12) Combine like terms: 5 + -8 = -3 -3 + -2x = -2 + -1(-12) Multiply -1 * -12 -3 + -2x = -2 + 12 Combine like terms: -2 + 12 = 10 -3 + -2x = 10 Solving -3 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 10 + 3 -2x = 10 + 3 Combine like terms: 10 + 3 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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