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Simplifying 5x + -47 = 3 + -7(x + 2) Reorder the terms: -47 + 5x = 3 + -7(x + 2) Reorder the terms: -47 + 5x = 3 + -7(2 + x) -47 + 5x = 3 + (2 * -7 + x * -7) -47 + 5x = 3 + (-14 + -7x) Combine like terms: 3 + -14 = -11 -47 + 5x = -11 + -7x Solving -47 + 5x = -11 + -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. -47 + 5x + 7x = -11 + -7x + 7x Combine like terms: 5x + 7x = 12x -47 + 12x = -11 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + 12x = -11 + 0 -47 + 12x = -11 Add '47' to each side of the equation. -47 + 47 + 12x = -11 + 47 Combine like terms: -47 + 47 = 0 0 + 12x = -11 + 47 12x = -11 + 47 Combine like terms: -11 + 47 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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