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Simplifying 8(X + -3) + -3(x + 6) = 2(x + -2) + 9 Reorder the terms: 8(-3 + X) + -3(x + 6) = 2(x + -2) + 9 (-3 * 8 + X * 8) + -3(x + 6) = 2(x + -2) + 9 (-24 + 8X) + -3(x + 6) = 2(x + -2) + 9 Reorder the terms: -24 + 8X + -3(6 + x) = 2(x + -2) + 9 -24 + 8X + (6 * -3 + x * -3) = 2(x + -2) + 9 -24 + 8X + (-18 + -3x) = 2(x + -2) + 9 Reorder the terms: -24 + -18 + 8X + -3x = 2(x + -2) + 9 Combine like terms: -24 + -18 = -42 -42 + 8X + -3x = 2(x + -2) + 9 Reorder the terms: -42 + 8X + -3x = 2(-2 + x) + 9 -42 + 8X + -3x = (-2 * 2 + x * 2) + 9 -42 + 8X + -3x = (-4 + 2x) + 9 Reorder the terms: -42 + 8X + -3x = -4 + 9 + 2x Combine like terms: -4 + 9 = 5 -42 + 8X + -3x = 5 + 2x Solving -42 + 8X + -3x = 5 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 8X + 42 + -3x = 5 + 42 + 2x Reorder the terms: -42 + 42 + 8X + -3x = 5 + 42 + 2x Combine like terms: -42 + 42 = 0 0 + 8X + -3x = 5 + 42 + 2x 8X + -3x = 5 + 42 + 2x Combine like terms: 5 + 42 = 47 8X + -3x = 47 + 2x Add '3x' to each side of the equation. 8X + -3x + 3x = 47 + 2x + 3x Combine like terms: -3x + 3x = 0 8X + 0 = 47 + 2x + 3x 8X = 47 + 2x + 3x Combine like terms: 2x + 3x = 5x 8X = 47 + 5x Divide each side by '8'. X = 5.875 + 0.625x Simplifying X = 5.875 + 0.625x
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