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Simplifying 32 + 9x = -7(4x + -6) Reorder the terms: 32 + 9x = -7(-6 + 4x) 32 + 9x = (-6 * -7 + 4x * -7) 32 + 9x = (42 + -28x) Solving 32 + 9x = 42 + -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. 32 + 9x + 28x = 42 + -28x + 28x Combine like terms: 9x + 28x = 37x 32 + 37x = 42 + -28x + 28x Combine like terms: -28x + 28x = 0 32 + 37x = 42 + 0 32 + 37x = 42 Add '-32' to each side of the equation. 32 + -32 + 37x = 42 + -32 Combine like terms: 32 + -32 = 0 0 + 37x = 42 + -32 37x = 42 + -32 Combine like terms: 42 + -32 = 10 37x = 10 Divide each side by '37'. x = 0.2702702703 Simplifying x = 0.2702702703
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