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Simplifying -47 = -7x + -4(x + -2) Reorder the terms: -47 = -7x + -4(-2 + x) -47 = -7x + (-2 * -4 + x * -4) -47 = -7x + (8 + -4x) Reorder the terms: -47 = 8 + -7x + -4x Combine like terms: -7x + -4x = -11x -47 = 8 + -11x Solving -47 = 8 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -47 + 11x = 8 + -11x + 11x Combine like terms: -11x + 11x = 0 -47 + 11x = 8 + 0 -47 + 11x = 8 Add '47' to each side of the equation. -47 + 47 + 11x = 8 + 47 Combine like terms: -47 + 47 = 0 0 + 11x = 8 + 47 11x = 8 + 47 Combine like terms: 8 + 47 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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