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Simplifying -47 = 5x + -3(3x + 9) Reorder the terms: -47 = 5x + -3(9 + 3x) -47 = 5x + (9 * -3 + 3x * -3) -47 = 5x + (-27 + -9x) Reorder the terms: -47 = -27 + 5x + -9x Combine like terms: 5x + -9x = -4x -47 = -27 + -4x Solving -47 = -27 + -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. -47 + 4x = -27 + -4x + 4x Combine like terms: -4x + 4x = 0 -47 + 4x = -27 + 0 -47 + 4x = -27 Add '47' to each side of the equation. -47 + 47 + 4x = -27 + 47 Combine like terms: -47 + 47 = 0 0 + 4x = -27 + 47 4x = -27 + 47 Combine like terms: -27 + 47 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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