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Simplifying 2(4x + -5) + -1 = 4x + -47 Reorder the terms: 2(-5 + 4x) + -1 = 4x + -47 (-5 * 2 + 4x * 2) + -1 = 4x + -47 (-10 + 8x) + -1 = 4x + -47 Reorder the terms: -10 + -1 + 8x = 4x + -47 Combine like terms: -10 + -1 = -11 -11 + 8x = 4x + -47 Reorder the terms: -11 + 8x = -47 + 4x Solving -11 + 8x = -47 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 8x + -4x = -47 + 4x + -4x Combine like terms: 8x + -4x = 4x -11 + 4x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 4x = -47 + 0 -11 + 4x = -47 Add '11' to each side of the equation. -11 + 11 + 4x = -47 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = -47 + 11 4x = -47 + 11 Combine like terms: -47 + 11 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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