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Simplifying 4x + -47 = 3(3x + 1) Reorder the terms: -47 + 4x = 3(3x + 1) Reorder the terms: -47 + 4x = 3(1 + 3x) -47 + 4x = (1 * 3 + 3x * 3) -47 + 4x = (3 + 9x) Solving -47 + 4x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -47 + 4x + -9x = 3 + 9x + -9x Combine like terms: 4x + -9x = -5x -47 + -5x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -47 + -5x = 3 + 0 -47 + -5x = 3 Add '47' to each side of the equation. -47 + 47 + -5x = 3 + 47 Combine like terms: -47 + 47 = 0 0 + -5x = 3 + 47 -5x = 3 + 47 Combine like terms: 3 + 47 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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