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Simplifying 2x + -8(x + 3) = 9 + -3(4x + 10) Reorder the terms: 2x + -8(3 + x) = 9 + -3(4x + 10) 2x + (3 * -8 + x * -8) = 9 + -3(4x + 10) 2x + (-24 + -8x) = 9 + -3(4x + 10) Reorder the terms: -24 + 2x + -8x = 9 + -3(4x + 10) Combine like terms: 2x + -8x = -6x -24 + -6x = 9 + -3(4x + 10) Reorder the terms: -24 + -6x = 9 + -3(10 + 4x) -24 + -6x = 9 + (10 * -3 + 4x * -3) -24 + -6x = 9 + (-30 + -12x) Combine like terms: 9 + -30 = -21 -24 + -6x = -21 + -12x Solving -24 + -6x = -21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -24 + -6x + 12x = -21 + -12x + 12x Combine like terms: -6x + 12x = 6x -24 + 6x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 6x = -21 + 0 -24 + 6x = -21 Add '24' to each side of the equation. -24 + 24 + 6x = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = -21 + 24 6x = -21 + 24 Combine like terms: -21 + 24 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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