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Simplifying 8x + 3(2x + -8) = 9 + -5(x + 3) Reorder the terms: 8x + 3(-8 + 2x) = 9 + -5(x + 3) 8x + (-8 * 3 + 2x * 3) = 9 + -5(x + 3) 8x + (-24 + 6x) = 9 + -5(x + 3) Reorder the terms: -24 + 8x + 6x = 9 + -5(x + 3) Combine like terms: 8x + 6x = 14x -24 + 14x = 9 + -5(x + 3) Reorder the terms: -24 + 14x = 9 + -5(3 + x) -24 + 14x = 9 + (3 * -5 + x * -5) -24 + 14x = 9 + (-15 + -5x) Combine like terms: 9 + -15 = -6 -24 + 14x = -6 + -5x Solving -24 + 14x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + 14x + 5x = -6 + -5x + 5x Combine like terms: 14x + 5x = 19x -24 + 19x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 19x = -6 + 0 -24 + 19x = -6 Add '24' to each side of the equation. -24 + 24 + 19x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 19x = -6 + 24 19x = -6 + 24 Combine like terms: -6 + 24 = 18 19x = 18 Divide each side by '19'. x = 0.9473684211 Simplifying x = 0.9473684211
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