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Simplifying 7x + 5 = -6(5x + -9) Reorder the terms: 5 + 7x = -6(5x + -9) Reorder the terms: 5 + 7x = -6(-9 + 5x) 5 + 7x = (-9 * -6 + 5x * -6) 5 + 7x = (54 + -30x) Solving 5 + 7x = 54 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 5 + 7x + 30x = 54 + -30x + 30x Combine like terms: 7x + 30x = 37x 5 + 37x = 54 + -30x + 30x Combine like terms: -30x + 30x = 0 5 + 37x = 54 + 0 5 + 37x = 54 Add '-5' to each side of the equation. 5 + -5 + 37x = 54 + -5 Combine like terms: 5 + -5 = 0 0 + 37x = 54 + -5 37x = 54 + -5 Combine like terms: 54 + -5 = 49 37x = 49 Divide each side by '37'. x = 1.324324324 Simplifying x = 1.324324324
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