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Simplifying 5x + -1(7x + 2) = 7x + -47 Reorder the terms: 5x + -1(2 + 7x) = 7x + -47 5x + (2 * -1 + 7x * -1) = 7x + -47 5x + (-2 + -7x) = 7x + -47 Reorder the terms: -2 + 5x + -7x = 7x + -47 Combine like terms: 5x + -7x = -2x -2 + -2x = 7x + -47 Reorder the terms: -2 + -2x = -47 + 7x Solving -2 + -2x = -47 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -2x + -7x = -47 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = -47 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = -47 + 0 -2 + -9x = -47 Add '2' to each side of the equation. -2 + 2 + -9x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -47 + 2 -9x = -47 + 2 Combine like terms: -47 + 2 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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