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Simplifying 3 + 2(x + -4) = 8 + -3(x + -9) Reorder the terms: 3 + 2(-4 + x) = 8 + -3(x + -9) 3 + (-4 * 2 + x * 2) = 8 + -3(x + -9) 3 + (-8 + 2x) = 8 + -3(x + -9) Combine like terms: 3 + -8 = -5 -5 + 2x = 8 + -3(x + -9) Reorder the terms: -5 + 2x = 8 + -3(-9 + x) -5 + 2x = 8 + (-9 * -3 + x * -3) -5 + 2x = 8 + (27 + -3x) Combine like terms: 8 + 27 = 35 -5 + 2x = 35 + -3x Solving -5 + 2x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 2x + 3x = 35 + -3x + 3x Combine like terms: 2x + 3x = 5x -5 + 5x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 5x = 35 + 0 -5 + 5x = 35 Add '5' to each side of the equation. -5 + 5 + 5x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 35 + 5 5x = 35 + 5 Combine like terms: 35 + 5 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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