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Simplifying 7x + 8 = 2 + -3(9x + -16) Reorder the terms: 8 + 7x = 2 + -3(9x + -16) Reorder the terms: 8 + 7x = 2 + -3(-16 + 9x) 8 + 7x = 2 + (-16 * -3 + 9x * -3) 8 + 7x = 2 + (48 + -27x) Combine like terms: 2 + 48 = 50 8 + 7x = 50 + -27x Solving 8 + 7x = 50 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 8 + 7x + 27x = 50 + -27x + 27x Combine like terms: 7x + 27x = 34x 8 + 34x = 50 + -27x + 27x Combine like terms: -27x + 27x = 0 8 + 34x = 50 + 0 8 + 34x = 50 Add '-8' to each side of the equation. 8 + -8 + 34x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 34x = 50 + -8 34x = 50 + -8 Combine like terms: 50 + -8 = 42 34x = 42 Divide each side by '34'. x = 1.235294118 Simplifying x = 1.235294118
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