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Simplifying 8 + -5(2x + -7) = 3(16 + -5x) + 5 Reorder the terms: 8 + -5(-7 + 2x) = 3(16 + -5x) + 5 8 + (-7 * -5 + 2x * -5) = 3(16 + -5x) + 5 8 + (35 + -10x) = 3(16 + -5x) + 5 Combine like terms: 8 + 35 = 43 43 + -10x = 3(16 + -5x) + 5 43 + -10x = (16 * 3 + -5x * 3) + 5 43 + -10x = (48 + -15x) + 5 Reorder the terms: 43 + -10x = 48 + 5 + -15x Combine like terms: 48 + 5 = 53 43 + -10x = 53 + -15x Solving 43 + -10x = 53 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 43 + -10x + 15x = 53 + -15x + 15x Combine like terms: -10x + 15x = 5x 43 + 5x = 53 + -15x + 15x Combine like terms: -15x + 15x = 0 43 + 5x = 53 + 0 43 + 5x = 53 Add '-43' to each side of the equation. 43 + -43 + 5x = 53 + -43 Combine like terms: 43 + -43 = 0 0 + 5x = 53 + -43 5x = 53 + -43 Combine like terms: 53 + -43 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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