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Simplifying -5x + 2(-2x + -8) = 47 Reorder the terms: -5x + 2(-8 + -2x) = 47 -5x + (-8 * 2 + -2x * 2) = 47 -5x + (-16 + -4x) = 47 Reorder the terms: -16 + -5x + -4x = 47 Combine like terms: -5x + -4x = -9x -16 + -9x = 47 Solving -16 + -9x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -9x = 47 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 47 + 16 -9x = 47 + 16 Combine like terms: 47 + 16 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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