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Simplifying 8(X + 6) + x = 3(-9 + -1x) Reorder the terms: 8(6 + X) + x = 3(-9 + -1x) (6 * 8 + X * 8) + x = 3(-9 + -1x) (48 + 8X) + x = 3(-9 + -1x) 48 + 8X + x = (-9 * 3 + -1x * 3) 48 + 8X + x = (-27 + -3x) Solving 48 + 8X + x = -27 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8X + -48 + x = -27 + -48 + -3x Reorder the terms: 48 + -48 + 8X + x = -27 + -48 + -3x Combine like terms: 48 + -48 = 0 0 + 8X + x = -27 + -48 + -3x 8X + x = -27 + -48 + -3x Combine like terms: -27 + -48 = -75 8X + x = -75 + -3x Add '-1x' to each side of the equation. 8X + x + -1x = -75 + -3x + -1x Combine like terms: x + -1x = 0 8X + 0 = -75 + -3x + -1x 8X = -75 + -3x + -1x Combine like terms: -3x + -1x = -4x 8X = -75 + -4x Divide each side by '8'. X = -9.375 + -0.5x Simplifying X = -9.375 + -0.5x
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