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Simplifying -1 + -1(-3x + 2) + -7x + 8 = -47 Reorder the terms: -1 + -1(2 + -3x) + -7x + 8 = -47 -1 + (2 * -1 + -3x * -1) + -7x + 8 = -47 -1 + (-2 + 3x) + -7x + 8 = -47 Reorder the terms: -1 + -2 + 8 + 3x + -7x = -47 Combine like terms: -1 + -2 = -3 -3 + 8 + 3x + -7x = -47 Combine like terms: -3 + 8 = 5 5 + 3x + -7x = -47 Combine like terms: 3x + -7x = -4x 5 + -4x = -47 Solving 5 + -4x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = -47 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -47 + -5 -4x = -47 + -5 Combine like terms: -47 + -5 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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