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Simplifying 3x + 5(-1x + -13) = -47 Reorder the terms: 3x + 5(-13 + -1x) = -47 3x + (-13 * 5 + -1x * 5) = -47 3x + (-65 + -5x) = -47 Reorder the terms: -65 + 3x + -5x = -47 Combine like terms: 3x + -5x = -2x -65 + -2x = -47 Solving -65 + -2x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -2x = -47 + 65 Combine like terms: -65 + 65 = 0 0 + -2x = -47 + 65 -2x = -47 + 65 Combine like terms: -47 + 65 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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