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Simplifying 8(3x + 9) = 43 + -1(x + -3) Reorder the terms: 8(9 + 3x) = 43 + -1(x + -3) (9 * 8 + 3x * 8) = 43 + -1(x + -3) (72 + 24x) = 43 + -1(x + -3) Reorder the terms: 72 + 24x = 43 + -1(-3 + x) 72 + 24x = 43 + (-3 * -1 + x * -1) 72 + 24x = 43 + (3 + -1x) Combine like terms: 43 + 3 = 46 72 + 24x = 46 + -1x Solving 72 + 24x = 46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 72 + 24x + x = 46 + -1x + x Combine like terms: 24x + x = 25x 72 + 25x = 46 + -1x + x Combine like terms: -1x + x = 0 72 + 25x = 46 + 0 72 + 25x = 46 Add '-72' to each side of the equation. 72 + -72 + 25x = 46 + -72 Combine like terms: 72 + -72 = 0 0 + 25x = 46 + -72 25x = 46 + -72 Combine like terms: 46 + -72 = -26 25x = -26 Divide each side by '25'. x = -1.04 Simplifying x = -1.04
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