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Simplifying -4(x + 4) + 2x + 6 = 5 + 7 Reorder the terms: -4(4 + x) + 2x + 6 = 5 + 7 (4 * -4 + x * -4) + 2x + 6 = 5 + 7 (-16 + -4x) + 2x + 6 = 5 + 7 Reorder the terms: -16 + 6 + -4x + 2x = 5 + 7 Combine like terms: -16 + 6 = -10 -10 + -4x + 2x = 5 + 7 Combine like terms: -4x + 2x = -2x -10 + -2x = 5 + 7 Combine like terms: 5 + 7 = 12 -10 + -2x = 12 Solving -10 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 12 + 10 -2x = 12 + 10 Combine like terms: 12 + 10 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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