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Simplifying 10 + -2(x + 7) = 12 + -4(x + 5) Reorder the terms: 10 + -2(7 + x) = 12 + -4(x + 5) 10 + (7 * -2 + x * -2) = 12 + -4(x + 5) 10 + (-14 + -2x) = 12 + -4(x + 5) Combine like terms: 10 + -14 = -4 -4 + -2x = 12 + -4(x + 5) Reorder the terms: -4 + -2x = 12 + -4(5 + x) -4 + -2x = 12 + (5 * -4 + x * -4) -4 + -2x = 12 + (-20 + -4x) Combine like terms: 12 + -20 = -8 -4 + -2x = -8 + -4x Solving -4 + -2x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + -2x + 4x = -8 + -4x + 4x Combine like terms: -2x + 4x = 2x -4 + 2x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 2x = -8 + 0 -4 + 2x = -8 Add '4' to each side of the equation. -4 + 4 + 2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -8 + 4 2x = -8 + 4 Combine like terms: -8 + 4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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