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Simplifying -8(X + 3) + 3x = -5(x + 9) + -3 Reorder the terms: -8(3 + X) + 3x = -5(x + 9) + -3 (3 * -8 + X * -8) + 3x = -5(x + 9) + -3 (-24 + -8X) + 3x = -5(x + 9) + -3 Reorder the terms: -24 + -8X + 3x = -5(9 + x) + -3 -24 + -8X + 3x = (9 * -5 + x * -5) + -3 -24 + -8X + 3x = (-45 + -5x) + -3 Reorder the terms: -24 + -8X + 3x = -45 + -3 + -5x Combine like terms: -45 + -3 = -48 -24 + -8X + 3x = -48 + -5x Solving -24 + -8X + 3x = -48 + -5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -8X + 24 + 3x = -48 + 24 + -5x Reorder the terms: -24 + 24 + -8X + 3x = -48 + 24 + -5x Combine like terms: -24 + 24 = 0 0 + -8X + 3x = -48 + 24 + -5x -8X + 3x = -48 + 24 + -5x Combine like terms: -48 + 24 = -24 -8X + 3x = -24 + -5x Add '-3x' to each side of the equation. -8X + 3x + -3x = -24 + -5x + -3x Combine like terms: 3x + -3x = 0 -8X + 0 = -24 + -5x + -3x -8X = -24 + -5x + -3x Combine like terms: -5x + -3x = -8x -8X = -24 + -8x Divide each side by '-8'. X = 3 + x Simplifying X = 3 + x
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