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Simplifying 6x + -1(4x + 5) = 4x + -47 Reorder the terms: 6x + -1(5 + 4x) = 4x + -47 6x + (5 * -1 + 4x * -1) = 4x + -47 6x + (-5 + -4x) = 4x + -47 Reorder the terms: -5 + 6x + -4x = 4x + -47 Combine like terms: 6x + -4x = 2x -5 + 2x = 4x + -47 Reorder the terms: -5 + 2x = -47 + 4x Solving -5 + 2x = -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. -5 + 2x + -4x = -47 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = -47 + 0 -5 + -2x = -47 Add '5' to each side of the equation. -5 + 5 + -2x = -47 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -47 + 5 -2x = -47 + 5 Combine like terms: -47 + 5 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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