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Simplifying 9 + -5(x + -7) = 10 + -8(2x + 1) Reorder the terms: 9 + -5(-7 + x) = 10 + -8(2x + 1) 9 + (-7 * -5 + x * -5) = 10 + -8(2x + 1) 9 + (35 + -5x) = 10 + -8(2x + 1) Combine like terms: 9 + 35 = 44 44 + -5x = 10 + -8(2x + 1) Reorder the terms: 44 + -5x = 10 + -8(1 + 2x) 44 + -5x = 10 + (1 * -8 + 2x * -8) 44 + -5x = 10 + (-8 + -16x) Combine like terms: 10 + -8 = 2 44 + -5x = 2 + -16x Solving 44 + -5x = 2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 44 + -5x + 16x = 2 + -16x + 16x Combine like terms: -5x + 16x = 11x 44 + 11x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 44 + 11x = 2 + 0 44 + 11x = 2 Add '-44' to each side of the equation. 44 + -44 + 11x = 2 + -44 Combine like terms: 44 + -44 = 0 0 + 11x = 2 + -44 11x = 2 + -44 Combine like terms: 2 + -44 = -42 11x = -42 Divide each side by '11'. x = -3.818181818 Simplifying x = -3.818181818
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