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Simplifying 37x + -47 + -52x = 29 + -28x + 15 Reorder the terms: -47 + 37x + -52x = 29 + -28x + 15 Combine like terms: 37x + -52x = -15x -47 + -15x = 29 + -28x + 15 Reorder the terms: -47 + -15x = 29 + 15 + -28x Combine like terms: 29 + 15 = 44 -47 + -15x = 44 + -28x Solving -47 + -15x = 44 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -47 + -15x + 28x = 44 + -28x + 28x Combine like terms: -15x + 28x = 13x -47 + 13x = 44 + -28x + 28x Combine like terms: -28x + 28x = 0 -47 + 13x = 44 + 0 -47 + 13x = 44 Add '47' to each side of the equation. -47 + 47 + 13x = 44 + 47 Combine like terms: -47 + 47 = 0 0 + 13x = 44 + 47 13x = 44 + 47 Combine like terms: 44 + 47 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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