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Simplifying -5(2x + -4) + 13 = -47 Reorder the terms: -5(-4 + 2x) + 13 = -47 (-4 * -5 + 2x * -5) + 13 = -47 (20 + -10x) + 13 = -47 Reorder the terms: 20 + 13 + -10x = -47 Combine like terms: 20 + 13 = 33 33 + -10x = -47 Solving 33 + -10x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -10x = -47 + -33 Combine like terms: 33 + -33 = 0 0 + -10x = -47 + -33 -10x = -47 + -33 Combine like terms: -47 + -33 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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