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Simplifying 3(7 + -9x) + -5(5x + 1) = -8(9 + -4) (7 * 3 + -9x * 3) + -5(5x + 1) = -8(9 + -4) (21 + -27x) + -5(5x + 1) = -8(9 + -4) Reorder the terms: 21 + -27x + -5(1 + 5x) = -8(9 + -4) 21 + -27x + (1 * -5 + 5x * -5) = -8(9 + -4) 21 + -27x + (-5 + -25x) = -8(9 + -4) Reorder the terms: 21 + -5 + -27x + -25x = -8(9 + -4) Combine like terms: 21 + -5 = 16 16 + -27x + -25x = -8(9 + -4) Combine like terms: -27x + -25x = -52x 16 + -52x = -8(9 + -4) Combine like terms: 9 + -4 = 5 16 + -52x = -8(5) Multiply -8 * 5 16 + -52x = -40 Solving 16 + -52x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -52x = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -52x = -40 + -16 -52x = -40 + -16 Combine like terms: -40 + -16 = -56 -52x = -56 Divide each side by '-52'. x = 1.076923077 Simplifying x = 1.076923077
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