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Simplifying 4x + -1(2x + 7) = 4x + -47 Reorder the terms: 4x + -1(7 + 2x) = 4x + -47 4x + (7 * -1 + 2x * -1) = 4x + -47 4x + (-7 + -2x) = 4x + -47 Reorder the terms: -7 + 4x + -2x = 4x + -47 Combine like terms: 4x + -2x = 2x -7 + 2x = 4x + -47 Reorder the terms: -7 + 2x = -47 + 4x Solving -7 + 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. -7 + 2x + -4x = -47 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = -47 + 0 -7 + -2x = -47 Add '7' to each side of the equation. -7 + 7 + -2x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -47 + 7 -2x = -47 + 7 Combine like terms: -47 + 7 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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