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Simplifying 4x + -1(7x + 5) = 4x + -47 Reorder the terms: 4x + -1(5 + 7x) = 4x + -47 4x + (5 * -1 + 7x * -1) = 4x + -47 4x + (-5 + -7x) = 4x + -47 Reorder the terms: -5 + 4x + -7x = 4x + -47 Combine like terms: 4x + -7x = -3x -5 + -3x = 4x + -47 Reorder the terms: -5 + -3x = -47 + 4x Solving -5 + -3x = -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 + -3x + -4x = -47 + 4x + -4x Combine like terms: -3x + -4x = -7x -5 + -7x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -7x = -47 + 0 -5 + -7x = -47 Add '5' to each side of the equation. -5 + 5 + -7x = -47 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -47 + 5 -7x = -47 + 5 Combine like terms: -47 + 5 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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